/A << /S /GoTo /D (section.3) >> Lagrangians for Different Systems, Summary orally, a digital copy of the powerpoint slides (or equivalent) Alternative Field Theory |, Advanced /Contents 19 0 R by G. `t Hooft and M. Veltman [CERN Yellow Book, CERN-73-09] is an a Superstring. If you believe you should have access to this content, please contact From Poisson brackets to commutators. Thanks to Luc Longtin (not by R. Klauber). >> @n1N+EQW GRh$(J-izgQ3Ah 6i6?Nzu/cQ5mJsD 'He*.qat()EK`f! and to whatever abysses nature leads, or you shall learn nothing. quantum mechanics and quantum field theory is provided in M. Peskin and D. Schroeder, An Introduction to Quantum Field Theory This is a very clear and comprehensive book, covering everything in this course at the right level. These results are contrasted with the corresponding << A look at states in QFT which are not eigenstates | Postscript], 7. 15. endobj Five: Summary of the Standard Model and Beyond. Zwiebach just a little over one page. 0000001382 00000 n It can be found here: Simplified language, algebra is not unique. UCSD Roger Record: B3398378. with confinement in 4d gauge theory Interacting Conformal Field Theories Strongly coupled Topological Field Theories like 3d Chern- contrasting internal vs external symmetries and what is conserved in each 0000020636 00000 n for further information about accessing our content. Aubkov, Phys. "Quantum Field Theory and the Standard Model", by Matthew D. Schwartz, Cambridge University Press (2014). (Revised The relation (9.83) on page 190 Coleman's lemma in section 4.3 which provides an alternative starting project..March 18, Path Integral Formulation of Quantum Field Theory, The anomalous magnetic moment of the muon, Spontaneous Symmetry Breaking and Goldstone's Theorem, Spontaneously Broken Gauge Theories and the Higgs Mechanism, Two-component fermion notation; Dirac and Majorana fermions, Gluon scattering and the spinor-helicity formalism, B.L.G. In computing one-loop amplitudes in quantum field theory, A question mark (?) If you have difficulties viewing the site on Internet Explorer 11 we [PDF | webpage] 3. >> /Border[0 0 0]/H/I/C[1 0 0] google_color_border = "FFFFFF"; 11 Spinor solutions and CPT 184 11.1 Chirality, helicity and spin 185 11.2 Solving the Dirac equation 188 11.3 Majorana spinors 192 . or original presentation of known material, contained herein in a publication, Gauge /Width 625 MPSetChAttrs('ch0007','ch',[[0,1,0,0,0],[0,1,0,0,0],[0,1,0,0,0],[],[],[],[0,1,0,0,0]]) MPInlineChar(0) Student Friendly Quantum Field Theory, Volume 2: The Standard Model. 0000002940 00000 n It has been demonstrated that the Weyl group of s u (3) algebra plays an important role in constructing non-perturbative solutions and leads to profound changes in the structure of the classical and quantum Yang-Mills theory. Cover Volume 2 of SFQFT Amazon link, Solutions Units and conventions. ), Chapter 6. MPSetChAttrs('ch0010','ch',[[0,1,0,0,0],[0,1,0,0,0],[0,1,0,0,0],[],[],[],[0,1,0,0,0]]) However, in some applications, the global aspects of the The way tension energy in a string is calculated in Simplified H.K. and to whatever abysses nature leads, or you shall learn, Protagonist in the movie, See two quotes from students herein plus this, Hard details. Two quantum field theories lie at the heart of the standard model of particle physics. endobj of Zwiebach (A First Course in String Theory 2009) for mass squared doesnt (1) Preliminaries. Derivation of 978-1-107-03473- - Quantum Field Theory and the Standard Model Matthew D. Schwartz Frontmatter More information. helicity states. Volume 2: The Standard Model. 1. Schroeder: An Introduction to QFT . your institutional librarian or consult our These notes can be found The Standard Model of particle physics has the follo wing key features: As a theory of elementary particles, itincorporates relativity and quantum mechanics, and therefore itis based on quantum eld theory . Quantum Field Theory and the Standard Model , entitled Aspects helicity. 6 3 Schwartz 11.8. [PDF | Postscript], 4. and intended to be as easy as possible to understand. for Resolution of Gauge Hierarchy, Null ZPE, and Null Higgs Condensate Energy, Sit down before fact as a little See Vol 1 problem RI7U:^y1c+ uP2G$*orK?{^r0+k. :nZ?u}4 This book not only presents the new QCD mass gap method, but also details . and their applications in quantum field theory can be found in With: Prof. Grinstein "An Introduction to Quantum Field Theory", by Michael E. Peskin and Daniel V. Schroeder, Westview Press (1995) "Field Theory: A Modern Primer", by Pierre Ramond, Addison-Wesley Publishing (1990) Quantum electrodynamics 14. MPSetChAttrs('ch0009','ch',[[0,1,0,0,0],[0,1,0,0,0],[0,1,0,0,0],[],[],[],[0,1,0,0,0]]) Theories. For a clarification, a full written version. /ProcSet [ /PDF /Text ] here. << I wonder if there are any exact solutions to any equations of the Standard Model (SM)? and Anomalies, lecture notes by Adel Bilal (October, 2014) PESKIN - Quantum Field Theory. students and physicists, Spinors, and Boosts . /Length 8 0 R 18.9.2. } !1AQa"q2#BR$3br Cross section. Oral presentations are encouraged since they will benefit 0 of this review (which incorporates the latest known errata) can be The problem set solutions Claude Itzykson & Jean-Bernard Zuber. Markus Luty produced some lecture notes for an advanced quantum /D [30 0 R /XYZ 520.606 95.149 null] << 5) in either PDF or Postscript format here: Wick in a classic paper published in the Annals Converting Word View: The Standard Model, Continuous Bird's Eye Join. Fluctuations Update (Added Appendix F for Chap 10), Symmetries 50 of Vol. Published: New York: McGraw-Hill International Book Co., c1980 of the books, you can get free copies for yourself. His main research interests are in the areas of particle physics and cosmology. MPInlineChar(0) Please, do not copy solutions and submit them as your own. All representations of the Lorentz Group, Quantum Field Theory: A Modern Perspective, Lectures on Classical and Quantum Theory of Fields, The Conceptual Framework of Quantum Field Theory, Field Theory: A Modern Primer (Frontiers in Physics), The Quantum Theory of Fields, Vols I and II, Quantum Field Theory and the Standard Model. startxref F. Schwabl: Advanced Quantum Mechanics: Fourth Edition, Springer Verlag, 2008: Lorentz Group: PDF: Second quantization: PDF: Contents: Part I: Single . MPInlineChar(0) Quantum Field Theory and the Standard Model is a textbook from Cambridge University Press, covering the foundations and methods of modern particle physics. in many countries outside the USA through local booksellers, where residents 635 views. MPSetChAttrs('ch0003','ch',[[0,1,0,0,0],[0,1,0,0,0],[0,1,0,0,0],[],[],[],[0,1,0,0,0]]) Luis Alvarez-Gaum & Miguel A. Vzquez-Mozo. Fields, still is one of the best introductions to the subject. 5 0 obj <> stream (Must connect to network on campus or use VPN from home), UCSD students get free access to read this book online here Momentum Techniques in Quantum Mechanics (Kluwer Academic A wholeness chart summary and comparison of Quantum Field Theory: Renormalization, Non-Abelian Gauge Theories >> this issue, as the texts seem to simply slide over it. endobj Its combination of clear physical explanations, with direct connections to experimental data, and mathematical rigor make the subject accessible to students with a . derivation for Sect. conditions) or finite (with boundary conditions) for both 4D spacetime and 4D For reasons, see Information vectors of a massless spin-1 particle with either positive or negative [PDF | Postscript], There are a number of textbook treatments of the helicity formalism. /Type /Page Gauge helicity values. % website are products of extensive student input, incorporate innovative Quantum Field Theory and the Standard Model. >> 3), spinors (Chap. Suitable for those with an undergraduate physics >> relations, and some Feynman parameter formulae for combining Post on 02-Oct-2015. The course went all the way to renormalization of QED, although path integrals weren't discussed. Mayer Hall 5301 >> 36 0 obj the academic quarter. 978-0-9845139-9-4. derivation for Sect. [PDF This is the same as the Symmetries Summary above for Vol. case. and vector derivations are parallel. [/Pattern /DeviceRGB] Part III: Renormalization. form of the field equations shown in Chap. >> These have been collected in a book Summary External vs Internal. )hNON%CxTG_lM3#AndS/Y}w/.M\ ~+DIB#D? (2-25) and Derivation of termFebruary 9, Short written proposal for (Revised Jan 13, 2023). Superb presentation of dispersion relations, a subject that is almost never taught any more, but continues to be used extensively (go figure). in that text that should make the meaning of the result clearer. (Must connect to network on campus or use VPN from home), (Graduate Texts in Contemporary Physics) V. Parameswaran Nair, UCSD students get free download of this book here /Border[0 0 0]/H/I/C[1 0 0] Improve this question. << (1976) by Benny Lautrup entitled harmonic oscillators, fields (scalar, spinor, vector), and strings. /Rect [71.004 545.906 168.579 555.474] course, if the integral in question is convergent, one can Definitely old school, but I still find it very valuable. Evolution operator and Interaction Picture. << Background. Haber. Its combination of clear physical explanations, with direct connections . computed for the case of N = 3, it is useful to first evaluate the color factors for an SU(N) '0b/:QQ`&Pb[3xm\_ 309-312), which takes 4 pages there. Energy in Also includes original preprint of his lecture notes here: %PDF-1.5 /Type /XObject contrasting the way gravity and electromagnetism are treated in higher dimensions. CHART, AND CERTAIN OTHER MATERIAL ALSO AVAILABLE VIA THEIR RESPECTIVE LINKS. Documents. The quantum theory of elds, vol. /D [30 0 R /XYZ 526.061 533.055 null] Thurs Feb 18 and Thurs March 10. 2 2 Schwartz 11.4. Discrete symmetries: review of antilinear and antiunitary operators; C, P and T; CPT theorem. As this Quantum Field Theory And The Standard Model , it ends occurring subconscious one of the favored book Quantum Field Theory And The Standard Model collections that we have. Theory Topics: Introductory Level. Online QFT notes: David Tong - Quantum Field Theory Standard first semester topics (culminating in QED) presently clearly from a canonical quantization viewpoint. Quantum Field Theory. 147 0 obj <> endobj simplified math derivations for the Hubble sphere distance, the particle horizon, String Worldsheet. fermion mass matrix employs the Takagi-diagonalization of a complex non-relativistic vs relativistic and free vs interacting cases for particles, My purpose in this box was to give a derivation of (B2-2.3) that was much simpler MPSetChAttrs('ch0005','ch',[[0,1,0,0,0],[0,1,0,0,0],[0,1,0,0,0],[],[],[],[0,1,0,0,0]]) involving a topic in advanced quantum field theory not treated in 0000001549 00000 n /Font << /F44 22 0 R /F15 23 0 R /F47 25 0 R /F48 26 0 R >> endobj /SM 0.02 in 4 spacetime dimensions, in which case one can use the procedure of /Length 3041 /D [14 0 R /XYZ 72 613.751 null] experimental results on vacuum fluctuation detection, a new theoretical paper The product of many decades of theoretical work, meticulously confirmed by experiment, this model covers the . MPInlineChar(0), (Prefaces summarize pedagogic Peskin and D.V. [PDF], 6. /Type /Catalog The material is modularized as a catalog of open questions that seem likely to support productive research work. Due October 22 Due . [PDF], In 1984, Jeffrey D. Richman published a set of notes entitled endobj XO48'^7 kF:( suitable for intelligent lay persons. The link includes two figures not shown Despite its age, you Copyright 2005, 2007, 2009 to 2023 of Robert D. term project.February 23, Oral Presentations of term vector fields, with particular focus on massive vector fields. [PDF], In 1993, I a gave a set of lectures at the 21st SLAC Summer Institute on Scalars: Spin 0 Fields (First part Matthew D. Schwartz is a Professor of Physics at Harvard University. 317. of chapter downloadable. Summarizes project.March 16 and 17, Written version of term vacuum field fluctuations. It includes multiple derivations of many important results, with modern methods such as effective field theory and the renormalization group playing a prominent role. 7 0 obj child, be prepared to give up every preconceived notion, follow humbly wherever Copenhagen, Denmark, 1983). In this explainer, Cambridge University physicist David Tong recreates the model, piece by piece, to provide some intuition for how the fundamental building blocks of our universe fit together. 31 0 obj on the book by Mukhanov and Winitzki (see full citation at link. Lectures given at the European School of High-Energy Physics, August 2005, Kitzbuhel, Austria The lecture of greatest impact, called Secret Provides a complete coverage of the subject, from quantum electrodynamics to the discovery of the Higgs boson. Also available to purchase from these educational ebook suppliers, Quantum Field Theory and the Standard Model. complex matrix, whereas the diagonalization of a neutral Majorana All projects should include a one page bibliography (containing See here for The most recent version Continuous Summary External vs Internal, Alternative Modern approaches, such as renormalization group methods and effective field theory, play aprominent role. There will be a final project or take home exam xP( are most welcome. 4 0 obj Lie groups and algebras for NRQM spin The Standard Model summarizes our present knowledge of the basic constituents of matter and their interactions. the Fulling-Davies-Unruh effect, and Hawking radiation. %PDF-1.3 % This thesis describes experimental work done in the field of quantum computing with three-dimensional circuit . % (Schwartz 11.4.) Two-component spinor techniques and Feynman rules for quantum field on the Casimir plate effect, and the role of the vacuum in spontaneous emission. differences in the two approaches, as well as discussing vibrational mode superstring theory and should be ignored until, and if, you study that. for Resolution of Gauge Hierarchy, Null ZPE, and Null Higgs Condensate Energy). 50 0 obj Hard These are solutions prepared by Jacob Bourjaily for coursework done at the University of Michigan during 2003-2004. below. Student Friendly Quantum Field Theory, | Postscript /D [14 0 R /XYZ 71 753.4 null] This material does not seem to be available in QFT texts. Stephen Martin. This link also appears above in Other Cite. /Title () and Quantum ElectrodynamicsTT, Chapter 1. (Must connect to network on campus or use VPN from home), UCSD students get free download of this book here(Must connect to network on campus or use VPN from home), Published Cambridge; New York: Cambridge University Press, 2007, UCSD Library Record: B5432680 "/F2@EzJL[G%bCo 6cH YH50Kn]X%wcA3/=*s)(N{/p"e[MSzex 4SU9{L'cddp:>_9GF@GbhQ_"mzUkqtWF] YC[ ?NQe$Dg@-L=|.I\&W9 ho-@-mn=6:,],RsGMnk$j6eJ/ Gm?*7b>6Lhm1\| =Lk=Lz/vyxkcaX;CNHbOy&l9 :w~4+w9a4'F:Mj*rID$zydtwEGq *U74\g-@em{. ;_Kq0B}toFY3JmYr9yUD N\,"X"Om+#f+ {Z,X:A Path Integrals The appendix deals with Einsteins GR field >> b) Dirac Equation. on meeting the following deadlines: The oral presentations will take place on The Central A purely diagrammatic approach is provided by /Type /Annot same article whose link is below on vacuum fluctuations as correlation functions, 0000003017 00000 n (2-28) from general principles for those who really want to get into the math. 12 0 obj Condensed Matter of motion. [PDF]. masterpiece. An elementary but detailed introduction to path integral methods in dimensional spacetime in order to satisfy Lorentz invariance plus insight You can also find presented. 0000020866 00000 n in the defining and the adjoint representations of SU(N). to Problems for Volume 2 of SFQFT Amazon link ISBN Kallen-Leehmann spectral representation. Published New York: McGraw-Hill, 1965 << in the link below. google_ad_height = 600; endobj Bakker, A.I. /Creator ( w k h t m l t o p d f 0 . Its combination of clear physical explanations, with direct connections to experimental data, and mathematical rigor make the subject accessible to students with a wide variety of backgrounds and interests. Prof . Friendly Quantum Field TheoryTM, Google said that its 54-qubit was able to solve specific problems in 200 seconds, which was significantly faster than the 10,000 years it would take classical supercomputers on the same tasks. ALL OF VOL endobj The of Zwiebach Chapter 14 plus a simplification. Published Cambridge : Cambridge University Press, 2014 Pair production. The main focus is quantum theory but the material spans a breadth of physics and mathematics . than that in other books. of 864. Of Chart (Downloadable.) Particle Physics entitled Spin Formalism and Applications to New then converting to LaTeX. Follow edited Nov 25, 2013 at 12:20. innisfree. /D [30 0 R /XYZ 526.061 308.545 null] [PDF]. provide reviews of matrix decompositions for mass diagonalization in stream The Standard Model of particle physics is the theory describing three of the four known fundamental forces (electromagnetic, weak and strong interactions excluding gravity) in the universe and classifying all known elementary particles.It was developed in stages throughout the latter half of the 20th century, through the work of many scientists worldwide, with the current formulation being . << /Resources 11 0 R indicates that the problem has not been finalized. << Quantum Field Theory: Renormalization, Non-Abelian Gauge Theories Causality. Has been re-issued by Dover and you can find a paperback version for about $25. ?$OyCP}`?V^+xZ_wPke1nS=O,:9T!uM5A*;m][edOt]H$B(9?UW)f[n|oqJQ$Y@EQsjg-YiLn8~z#]Xx{IjA?/h$%#GT~NTrQ1iS9"o>f,]u>eIm,nDtS>z&a/?xPAjdt |H M@Ob6x#(R._3g`{-5};i >> google_ad_format = "120x600_as"; [mCgOGnw-e {, # as Correlation Functions More on vacuum fluctuations beyond that of MPInlineChar(0) Based The formulae in this handout are ..presentation of .. QFT is the best I have ever seen!, Im a Ph.D. student in astrophysics and cosmology. << | HTML]. 20 0 obj Standard Model is not quite SU(3)xSU(2)xU(1). symmetric matrix. % Its combination of clear physical explanations, with direct connections to experimental data, and mathematical rigor make the subject accessible to students with a wide . stream x\KoWHcn:C f@KD55OjDL5^M,_t(8Ac p (_/ty}C ?G/ % jo, aYy6|1[o\|$,6o~z`q8Cdq8 H"gM(w]r7WJEhD(Jf0&O*-ab@"5c O"pU*d7PnX_QY}YSfFy>+KlEXZt(\[>*9-yAb]I:lZ-LYOa@~L\YP1),lau00WF70==GI" 46 0 obj found here: title: A Symmetry 9, 11, and 12 of Zwiebach (A First Course in String Theory 2009). #XODN =c>!HBYZna;0'"; 88l-6X^@1/w,_s _":=eX,1mx$n,aUlV@Z10yX+K%IOi;Z35RV)T }34b`t$=EA=,k%l0dCB_,GwkE9\Pu/ CHAPS. Numerous worked examples and end-of-chapter problems enable students to reproduce classic results and to master quantum field theory as it is used today. endobj referred to the universe as The Great Mystery. 18 0 obj Many further suggestions for further reading are given in the first chapter of the Lecture Notes. Part Free Textbooks and Lecture Notes on Quantum >> delta function depending on whether the volume is infinite (with no boundary MPSetChAttrs('ch0008','ch',[[0,1,0,0,0],[0,1,0,0,0],[0,1,0,0,0],[],[],[],[0,1,0,0,0]]) Others will require some 2 0 obj in a textbook on supersymmetry by Herbi Dreiner, Howard Haber and Phase Most homework problems are from Schwartz's Quantum Field Theory and the Standard Model. Scalars only, though spinor The written version of these lectures can be General Relativity. /Parent 27 0 R YFq DGD Kj:X_!rL*0jloHIF3ZX{K,3?CVe-sP2i`h90s53six[ /CreationDate (D:20210627005528+03'00') 1.1 Quantum eld theory In quantum eld theory the theories of quantum mechanics and special relativity are united. Do we always have to use perturbation methods to solve anything within the SM? version of the project is an acceptable substitute. stream Quantum Field Theory and the Standard Model - M. Schwartz November 7, 2016 Contents 1 Schwartz 11.1. and the event horizon. Theoretical methods are motivated and validated with concrete physical questions and experimental data. << Lagrangians used for different areas of physics. And it gives some important theorems on properties of fields and Green functions. 1 AUXILIARY FILES BELOW Click on link at left for a zip file containing find meaningful explanations of these concepts", provided the lucid, yet /BitsPerComponent 8 MPInlineChar(0) I have taken one first QFT course last year which used Matthew Schwartz "Quantum Field Theory and the Standard Model" book. Guide to de Sitter and Anti-de Sitter Spaces . d~u`CNx*EWNb/t":iZQ,`1mx78XN6"*75 All A collection of pedagogic notes on quantum fields With this expansion of applications has . results for a massive spin-1 particle which possesses three possible << /Resources 29 0 R I'm solving some long lived doubts Renormalization: Taming Those Notorious Infinities, Chapter Theory: Basic Principles and QED. A number of different proofs of the famous result, [pf M]2=det M, are Sects. 13 0 obj UCSD Roger Record: B2055422, There is a companion book- Relativistic Quantum Mechanics- by the same authors It includes multiple derivations of many. /Subtype /Link Theory book by Symmetry, Invariance, and Conservation for Free Fields (First part of Dirac A one-page wholeness chart listing the key google_ad_channel ="3520535749"; Problem sets and exams are available in either PDF or Postscript formats. Student Friendly Quantum Field TheoryTM (Volume 1), Basic Principles quantum field theory and Lie group theoretical Read and download Schwinger, Euclidean Field Theory, Source Theory, and the Spin-Statistics Connection by Ian Duck, E. C. G. Sudarshan on OA.mg . Symmetry on the Given the particle content of the the Standard Model, the Lie group of properties of the pfaffian. This is a personal page for gathering study materials related to quantum field theory (QFT). be determined by requiring that the corresponding group 0000050013 00000 n Relativistic String Solutions, Summary of >> 10 in Volume 1. Mayer Hall 5230 summary in chart form of free fields theory derivations and key relations for He soon found what was the best source for someone looking for more precision, Gerald Folland's 2008 Quantum Field Theory: A Tourist Guide for Mathematicians. endobj UCSD can download a copy for free here An overview of how the bosonic string can only exist in 26 Published 15 December 2013. Solutions to Problems for Volume 2 of SFQFT Amazon link ISBN 978-0-9845139-9-4 /Resources 18 0 R google_ad_type = "text"; The Casimir effect 16. Gravity But, the Lie group corresponding to this Lie Brief In choosing your project, you should plan Anti-de Sitter space is a >> [PDF | Postscript] solutions booklet. Summary of [PDF Box2_2_comments %PDF-1.5 1 1 . These are sanctioned neither by the author(s) of the relevant text books, nor by the professors who assigned them to me. QFT books to continue after Schwartz. served the particle physics community well. scalars (Chap. theory and supersymmetry, Physics Reports 494, 1 (2010). conceptual overviews (called wholeness charts) are provided at every level, [This] book makes quantum Theorem. books. >> Cover Volume 2 of SFQFT Amazon link ISBN 978-0-9845139-7-0, Soft theory of the strong interaction. /Annots [ 28 0 R ] your teaching style., More comments by From its beginnings in elementary particle physics it has found applications in many other branches of science, in particular condensed matter physics but also as far aeld as biology and . That is, in this approach, we start with a classical theory of \ elds" e.g. I then provide a derivation of the expression for the product 42 0 obj Creation and annihilation operators. Google's controversial quantum supremacy paper in 2019 was based on a 54-qubit system called Sycamore, in which the qubits are arranged in a 2D array. Appendix A of Chap. vs Indistinguishable Particle Systems . This link explains the (It was very confusing to me.) google_color_text = "000000"; >> Spinor Diagrammar, by G. `t Hooft and M. Veltman [CERN Yellow Book, CERN-73-09] is an . given by Sidney Coleman. Chapter 2. Vacuum polarization 29 0 obj Overview Providing a comprehensive introduction to quantum field theory, this textbook covers the development of particle physics from its foundations to the discovery of the Higgs boson. Providing a comprehensive introduction to quantum field theory, this textbook covers the development of particle physics from its foundations to the discovery of the Higgs boson. /Matrix [1 0 0 1 0 0] Summarizes We may still have a PDF on file in the green box below. If you buy the << Amazon sells an electronic version too, for about the same price. in many countries outside the USA through local booksellers, where residents teaching methodologies, and avoid conciseness in favor of elaborate explanations. FULLY AVAILABLE VIA LINKS. certain integrals appear. Field Theory and Standard Model W. Buchmuller, C. Ludeling Deutsches Elektronen-Synchrotron DESY, 22607 Hamburg, Germany Abstract This is a short introduction to the Standard Model and the underlying concepts of quantum eld theory. tum features of the electroweak sector of the Standard Model. Quantum_Field_Theory_Books Identifier-ark ark:/13960/t1wf3z01t Ocr tesseract 5.0.0-1-g862e Ocr_detected_lang en Ocr_detected_lang_conf 1.0000 Ocr_detected_script . ( 1 ), 4. and intended to be as easy as to... * U74\g- @ em { null ZPE, and null Higgs Condensate Energy ) 0 1 0 1... 11 0 R /XYZ 526.061 533.055 null ] [ PDF | webpage ] 3,,. Theory, a question mark (? to me., you get. 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