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Book
xviii, 850 pages : illustrations ; 26 cm
  • Part I. Field Theory: 1. Microscopic theory of radiation-- 2. Lorentz invariance and second quantization-- 3. Classical Field Theory-- 4. Old-fashioned perturbation theory-- 5. Cross sections and decay rates-- 6. The S-matrix and time-ordered products-- 7. Feynman rules-- Part II. Quantum Electrodynamics: 8. Spin 1 and gauge invariance-- 9. Scalar QED-- 10. Spinors-- 11. Spinor solutions and CPT-- 12. Spin and statistics-- 13. Quantum electrodynamics-- 14. Path integrals-- Part III. Renormalization: 15. The Casimir effect-- 16. Vacuum polarization-- 17. The anomalous magnetic moment-- 18. Mass renormalization-- 19. Renormalized perturbation theory-- 20. Infrared divergences-- 21. Renormalizability-- 22. Non-renormalizable theories-- 23. The renormalization group-- 24. Implications of Unitarity-- Part IV. The Standard Model: 25. Yang-Mills theory-- 26. Quantum Yang-Mills theory-- 27. Gluon scattering and the spinor-helicity formalism-- 28. Spontaneous symmetry breaking-- 29. Weak interactions-- 30. Anomalies-- 31. Precision tests of the standard model-- 32. QCD and the parton model-- Part V. Advanced Topics: 33. Effective actions and Schwinger proper time-- 34. Background fields-- 35. Heavy-quark physics-- 36. Jets and effective field theory-- Appendices-- References-- Index.
  • (source: Nielsen Book Data)9781107034730 20160612
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. 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. Assuming only an undergraduate-level understanding of quantum mechanics, the book steadily develops the Standard Model and state-of-the-art calculation techniques. It includes multiple derivations of many important results, with modern methods such as effective field theory and the renormalization group playing a prominent role. 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. Based on a course taught by the author over many years, this book is ideal for an introductory to advanced quantum field theory sequence or for independent study.
(source: Nielsen Book Data)9781107034730 20160612
Engineering Library (Terman)
PHYSICS-332-01
Book
xii, 478 p. : ill. ; 26 cm.
  • Preface. Notes. 1 Photons and the Electromagnetic Field. 1.1 Particles and Fields. 1.2 The Electromagnetic Field in the Absence of Charges. 1.3 The Electric Dipole Interaction. 1.4 The Electromagnetic Field in the Presence of Charges. 1.5 Appendix: The Schrodinger, Heisenberg and Interaction Pictures. Problems. 2 Lagrangian Field Theory. 2.1 Relativistic Notation. 2.2 Classical Lagrangian Field Theory. 2.3 Quantized Lagrangian Field Theory. 2.4 Symmetries and Conservation Laws. Problems. 3 The Klein-Gordon field. 3.1 The Real Klein-Gordon Field. 3.2 The Complex Klein-Gordon Field. 3.3 Covariant Commutation Relations. 3.4 The Meson Propagator. Problems. 4 The Dirac Field. 4.1 The Number Representation for Fermions. 4.2 The Dirac Equation. 4.3 Second Quantization. 4.4 The Fermion Propagator. 4.5 The Electromagnetic Interaction and Gauge Invariance. Problems. 5 Photons: Covariant Theory. 5.1 The Classical Fields. 5.2 Covariant Quantization. 5.3 The Photon Propagator. Problems. 6 The S-Matrix Expansion. 6.1 Natural Dimensions and Units. 6.2 The S-Matrix Expansion. 6.3 Wick's Theorem. 7 Feynman Diagrams and Rules in QED. 7.1 Feynman Diagrams in Configuration Space. 7.2 Feynman Diagrams in Momentum Space. 7.3 Feynman Rules for QED. 7.4 Leptons. Problems. 8 QED Processes in Lowest Order. 8.1 The Cross-Section. 8.2 Spin Sums. 8.3 Photon Polarization Sums. 8.4 Lepton Pair Production in (e + e - ) Collisions. 8.5 Bhabha Scattering. 8.6 Compton Scattering. 8.7 Scattering by an External Field. 8.8 Bremsstrahlung. 8.9 The Infra-Red Divergence. Problems. 9 Radiative Corrections. 9.1 The Second-Order Radiative Corrections of QED. 9.2 The Photon Self-Energy. 9.3 The Electron Self-Energy. 9.4 External Line Renormalization. 9.5 The Vertex Modification. 9.6 Applications. 9.7 The Infra-Red Divergence. 9.8 Higher-Order Radiative Corrections. 9.9 Renomalizability. Problems. 10 Regularization. 10.1 Mathematical Preliminaries. 10.2 Cut-Off Regularization: The Electron Mass Shift. 10.3 Dimensional Regularization. 10.4 Vacuum Polarization. 10.5 The Anomalous Magnetic Moment. Problems. 11 Gauge Theories. 11.1 The Simplest Gauge Theory: QED. 11.2 Quantum Chromodynamics. 11.3 Alternative Interactions?. 11.4 Appendix: Two Gauge Transformation Results. Problems. 12 Field Theory Methods. 12.1 Green Functions. 12.2 Feynman Diagrams and Feynman Rules. 12.3 Relation to S-Matrix Elements. 12.4 Functionals and Grassmann Fields. 12.5 The Generating Functional. Problems. 13 Path Integrals. 13.1 Functional Integration. 13.2 Path Integrals. 13.3 Perturbation Theory. 13.4 Gauge Independent Quantization?. Problems. 14 Quantum Chromodynamics. 14.1 Gluon Fields. 14.2 Including Quarks. 14.3 Perturbation Theory. 14.4 Feynman Rules for QCD. 14.5 Renormalizability of QCD. Problems. 15 Asymptotic Freedom. 15.1 Electron-Positron Annihilation. 15.2 The Renormalization Scheme. 15.3 The Renormalization Group. 15.4 The Strong Coupling Constant. 15.5 Applications. 15.6 Appendix: Some Loop Diagrams in QCD. Problems. 16 Weak Interactions. 16.1 Introduction. 16.2 Leptonic Weak Interactions. 16.3 The Free Vector Boson Field. 16.4 The Feynman Rules for the IVB Theory. 16.5 Decay Rates. 16.6 Applications of the IVB Theory. 16.7 Neutrino Masses. 16.8 Difficulties with the IVB Theory. Problems. 17 A Gauge Theory of Weak Interactions. 17.1 QED Revisited. 17.2 Global Phase Transformations and Conserved Weak Currents. 17.3 The Gauge-Invariant Electro-Weak Interaction. 17.4 Properties of the Gauge Bosons. 17.5 Lepton and Gauge Boson Masses. 18 Spontaneous Symmetry Breaking. 18.1 The Goldstone Model. 18.2 The Higgs Model. 18.3 The Standard Electro-Weak Theory. 19 The Standard Electroweak Theory. 19.1 The Lagrangian Density in the Unitary Gauge. 19.2 Feynman Rules. 19.3 Elastic Neutrino-Electron Scattering. 19.4 Electron-Positron Annihilation. 19.5 The Higgs Boson. Problems. Appendix A The Dirac Equation. Appendix B Feynman Rules and Formulae for Pertubation Therory. Index.
  • (source: Nielsen Book Data)9780471496847 20160605
Following on from the successful first (1984) and revised (1993) editions, this extended and revised text is designed as a short and simple introduction to quantum field theory for final year physics students and for postgraduate students beginning research in theoretical and experimental particle physics. The three main objectives of the book are to: Explain the basic physics and formalism of quantum field theory To make the reader proficient in theory calculations using Feynman diagrams To introduce the reader to gauge theories, which play a central role in elementary particle physics. Thus, the first ten chapters deal with QED in the canonical formalism, and are little changed from the first edition. A brief introduction to gauge theories (Chapter 11) is then followed by two sections, which may be read independently of each other. They cover QCD and related topics (Chapters 12-15) and the unified electroweak theory (Chapters 16 - 19) respectively. Problems are provided at the end of each chapter. New to this edition: Five new chapters, giving an introduction to quantum chromodynamics and the methods used to understand it: in particular, path integrals and the renormalization group. The treatment of electroweak interactions has been revised and updated to take account of more recent experiments.
(source: Nielsen Book Data)9780471496847 20160605
Engineering Library (Terman), eReserve
PHYSICS-332-01
Book
xxvi, 576 p. : ill. ; 26 cm.
  • Preface xi Convention, Notation, and Units xv PART I: MOTIVATION AND FOUNDATION I.1 Who Needs It? 3 I.2 Path Integral Formulation of Quantum Physics 7 I.3 From Mattress to Field 16 I.4 From Field to Particle to Force 24 I.5 Coulomb and Newton: Repulsion and Attraction 30 I.6 Inverse Square Law and the Floating 3-Brane 38 I.7 Feynman Diagrams 41 I.8 Quantizing Canonically and Disturbing the Vacuum.61 I.9 Symmetry 70 I.10 Field Theory in Curved Spacetime 76 I.11 Field Theory Redux 84 PART II: DIRAC AND THE SPINOR II.1 The Dirac Equation 89 II.2 Quantizing the Dirac Field 103 II.3 Lorentz Group and Weyl Spinors 111 II.4 Spin-Statistics Connection 117 II.5 Vacuum Energy, Grassmann Integrals, and Feynman Diagrams for Fermions 121 II.6 Electron Scattering and Gauge Invariance130 II.7 Diagrammatic Proof of Gauge Invariance135 PART III: RENORMALIZATION AND GAUGE INVARIANCE III.1 Cutting Off Our Ignorance 145 III.2 Renormalizable versus Nonrenormalizable154 III.3 Counterterms and Physical Perturbation Theory 158 III.4 Gauge Invariance: A Photon Can Find No Rest 167 III.5 Field Theory without Relativity 172 III.6 The Magnetic Moment of the Electron 177 III.7 Polarizing the Vacuum and Renormalizing the Charge.183 PART IV: SYMMETRY AND SYMMETRY BREAKING IV.1 Symmetry Breaking 193 IV.2 The Pion as a Nambu-Goldstone Boson 202 IV.3 Effective Potential 208 IV.4 Magnetic Monopole 217 IV.5 Nonabelian Gauge Theory 226 IV.6 The Anderson-Higgs Mechanism 236 IV.7 Chiral Anomaly 243 PART V: FIELD THEORY AND COLLECTIVE PHENOMENA V.1 Superfluids 257 V.2 Euclid, Boltzmann, Hawking, and Field Theory at Finite Temperature 261 V.3 Landau-Ginzburg Theory of Critical Phenomena 267 V.4 Superconductivity 270 V.5 Peierls Instability 273 V.6 Solitons 277 V.7 Vortices, Monopoles, and Instantons 282 PART VI: FIELD THEORY AND CONDENSED MATTER VI.1 Fractional Statistics, Chern-Simons Term, and Topological Field Theory 293 VI.2 Quantum Hall Fluids 300 VI.3 Duality 309 VI.4 The ? Models as Effective Field Theories 318 VI.5 Ferromagnets and Antiferromagnets 322 VI.6 Surface Growth and Field Theory 326 VI.7 Disorder: Replicas and Grassmannian Symmetry 330 VI.8 Renormalization Group Flow as a Natural Concept in High Energy and Condensed Matter Physics 337 PART VII: GRAND UNIFICATION VII.1 Quantizing Yang-Mills Theory and Lattice Gauge Theory. 353 VII.2 Electroweak Unification 361 VII.3 Quantum Chromodynamics 368 VII.4 Large N Expansion 377 VII.5 Grand Unification 391 VII.6 Protons Are Not Forever 397 VII.7 SO(10) Unification 405 PART VIII: GRAVITY AND BEYOND VIII.1 Gravity as a Field Theory and the Kaluza-Klein Picture.419 VIII.2 The Cosmological Constant Problem and the Cosmic Coincidence Problem 434 VIII.3 Effective Field Theory Approach to Understanding Nature 437 VIII.4 Supersymmetry: A Very Brief Introduction443 VIII.5 A Glimpse of String Theory as a 2-Dimensional Field Theory 452 Closing Words 455 APPENDIXES: A: Gaussian Integration and the Central Identity of Quantum Field Theory 459 B: A Brief Review of Group Theory 461 C: Feynman Rules 471 D: Various Identities and Feynman Integrals475 E Dotted and Undotted Indices and the Majorana Spinor.479 Solutions to Selected Exercises 483 Further Reading 501 Index 505.
  • (source: Nielsen Book Data)9780691140346 20160603
Since it was first published, Quantum Field Theory in a Nutshell has quickly established itself as the most accessible and comprehensive introduction to this profound and deeply fascinating area of theoretical physics. Now in this fully revised and expanded edition, A. Zee covers the latest advances while providing a solid conceptual foundation for students to build on, making this the most up-to-date and modern textbook on quantum field theory available. This expanded edition features several additional chapters, as well as an entirely new section describing recent developments in quantum field theory such as gravitational waves, the helicity spinor formalism, on-shell gluon scattering, recursion relations for amplitudes with complex momenta, and the hidden connection between Yang-Mills theory and Einstein gravity. Zee also provides added exercises, explanations, and examples, as well as detailed appendices, solutions to selected exercises, and suggestions for further reading. The most accessible and comprehensive introductory textbook available Features a fully revised, updated, and expanded text Covers the latest exciting advances in the field Includes new exercises Offers a one-of-a-kind resource for students and researchers Leading universities that have adopted this book include: Arizona State University Boston University Brandeis University Brown University California Institute of Technology Carnegie Mellon College of William & Mary Cornell Harvard University Massachusetts Institute of Technology Northwestern University Ohio State University Princeton University Purdue University - Main Campus Rensselaer Polytechnic Institute Rutgers University - New Brunswick Stanford University University of California - Berkeley University of Central Florida University of Chicago University of Michigan University of Montreal University of Notre Dame Vanderbilt University Virginia Tech University.
(source: Nielsen Book Data)9780691140346 20160603
Engineering Library (Terman)
PHYSICS-332-01
Book
xxii, 842 p.
  • Feynman Diagrams and Quantum Electrodynamics * Invitation: Pair Production in e+e- Annihilation * The Klein-Gordon Field * The Dirac Field * Interacting Fields and Feynman Diagrams * Elementary Processes of Quantum Electrodynamics * Radiative Corrections: Introduction * Radiative Corrections: Some Formal Developments * Final Project: Radiation of Gluon Jets Renormalization * Invitation: Ultraviolet Cutoffs and Critical Fluctuations * Functional Methods * Systematics of Renormalization * Renormalization and Symmetry * The Renormalization Group * Critical Exponents and Scalar Field Theory * Final Project: The Coleman-Weinberg Potential Non-Albelian Gauge Theory * Invitation: The Parton Model of Hadron Structure * Non-Albein Gauge Invariance * Quantization of Non-Abelian Gauge Theories * Quantum Chromodynamics * Operator Products and Effective Vertices * Perturbation Theory Anomalies * Gauge Theories with Spontaneous Symmetry Breaking * Quantization of Spontaneously Broken Gauge Theories * Final Project: Decays of the Higgs Boson * Epilogue: Field Theory at the Frontier.
  • (source: Nielsen Book Data)
An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.
(source: Nielsen Book Data)
Engineering Library (Terman)
PHYSICS-332-01

5. The quantum theory of fields [1995 - 2000]

Book
3 v. : ill. ; 26 cm.
  • Preface to Volume II-- 15. Non-Abelian gauge theories-- 16. External field methods-- 17. Renormalization of gauge theories-- 18. Renormalization group methods-- 19. Spontaneously broken global symmetries-- 20. Operator product expansions-- 21. Spontaneous breaking of gauge symmetries-- 22. Anomalies-- 23. Topological complications-- Subject index-- Author index.
  • (source: Nielsen Book Data)9780521550024 20160612
  • Preface to Volume III-- Notation-- 24. Historical introduction-- 25. Supersymmetry algebras-- 26. Supersymmetric field theories-- 27. Supersymmetric gauge theories-- 28. Supersymmetric versions of the standard model-- 29. Beyond perturbation theory-- 30. Supergraphs-- 31. Supergravity-- 32. Supersymmetry in higher dimensions-- Author index-- Subject index.
  • (source: Nielsen Book Data)9780521660006 20160612
  • Preface-- 1. Historical introduction-- 2. Relativistic quantum mechanics-- 3. Scattering theory-- 4. The cluster decomposition principle-- 5. Quantum fields and antiparticles-- 6. The Feynman rules-- 7. The canonical formalism-- 8. Massless particles: electrodynamics-- 9. Path integral methods-- 10. Nonperturbative methods-- 11. One-loop radiative corrections in quantum electrodynamics-- 12. General renormalization theory-- 13. Infrared effects-- 14. Bound states in external fields-- Subject index-- Author index.
  • (source: Nielsen Book Data)9780521550017 20160612
Available for the first time in paperback, The Quantum Theory of Fields is a self-contained, comprehensive, and up-to-date introduction to quantum field theory from Nobel Laureate Steven Weinberg. Volume I introduces the foundations of quantum field theory. The development is fresh and logical throughout, with each step carefully motivated by what has gone before. After a brief historical outline, the book begins with the principles of relativity and quantum mechanics, and the properties of particles that follow. Quantum field theory emerges from this as a natural consequence. The classic calculations of quantum electrodynamics are presented in a thoroughly modern way, showing the use of path integrals and dimensional regularization. It contains much original material, and is peppered with examples and insights drawn from the author's experience as a leader of elementary particle research. Exercises are included at the end of each chapter.
(source: Nielsen Book Data)9780521550017 20160612
In this third volume of The Quantum Theory of Fields, available for the first time in paperback, Nobel Laureate Steven Weinberg continues his masterly exposition of quantum field theory. This volume presents a self-contained, up-to-date and comprehensive introduction to supersymmetry, a highly active area of theoretical physics. The text introduces and explains a broad range of topics, including supersymmetric algebras, supersymmetric field theories, extended supersymmetry, supergraphs, non-perturbative results, theories of supersymmetry in higher dimensions, and supergravity. A thorough review is given of the phenomenological implications of supersymmetry, including theories of both gauge and gravitationally-mediated supersymmetry breaking. Also provided is an introduction to mathematical techniques, based on holomorphy and duality, that have proved so fruitful in recent developments. This book contains much material not found in other books on supersymmetry, including previously unpublished results. Exercises are included.
(source: Nielsen Book Data)9780521660006 20160612
The Quantum Theory of Fields, first published in 1996, is a self-contained, comprehensive introduction to quantum field theory from Nobel Laureate Steven Weinberg. Volume II gives an account of the methods of quantum field theory, and how they have led to an understanding of the weak, strong, and electromagnetic interactions of the elementary particles. The presentation of modern mathematical methods is throughout interwoven with accounts of the problems of elementary particle physics and condensed matter physics to which they have been applied. Many topics are included that are not usually found in books on quantum field theory. The book is peppered with examples and insights from the author's experience as a leader of elementary particle physics. Exercises are included at the end of each chapter.
(source: Nielsen Book Data)9780521550024 20160612
Engineering Library (Terman), SAL3 (off-campus storage)
PHYSICS-332-01
Book
329 p.
Engineering Library (Terman)
PHYSICS-332-01