Advanced Topics in Quantum Field Theory : a Lecture Course.
Devoted specifically to modern field theory, this is an indispensable book for graduate students and researchers in theoretical physics.
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Full Text (via ProQuest) |
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| Format: | eBook |
| Language: | English |
| Published: |
Cambridge :
Cambridge University Press,
2012.
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| Subjects: |
MARC
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| 100 | 1 | |a Shifman, M. | |
| 245 | 1 | 0 | |a Advanced Topics in Quantum Field Theory : |b a Lecture Course. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2012. | ||
| 300 | |a 1 online resource (642 pages) | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a computer |b c |2 rdamedia. | ||
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| 505 | 0 | |a Cover; Advanced Topics in Quantum Field Theory: A Lecture Course; Title; Copyright; Dedication; Contents; Preface; References; Acknowledgments; Conventions, notation, useful general formulas, abbreviations; Abbreviations; Introduction; References for the Introduction; PART I: BEFORE SUPERSYMMETRY; 1 Phases of gauge theories; 1 Spontaneous symmetry breaking; 1.1 Introduction; 1.2 Real scalar field with Z2-invariant interactions; 1.3 Symmetric vacuum; 1.4 Nonsymmetric vacuum; 1.5 Equivalence of asymmetric vacua; 1.6 Spontaneous breaking of the continuous symmetry. | |
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a Devoted specifically to modern field theory, this is an indispensable book for graduate students and researchers in theoretical physics. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Quantum field theory. | |
| 650 | 7 | |a Quantum field theory. |2 fast |0 (OCoLC)fst01085105. | |
| 776 | 0 | 8 | |i Print version: |z 9780521190848. |
| 856 | 4 | 0 | |u https://ebookcentral.proquest.com/lib/ucb/detail.action?docID=833368 |z Full Text (via ProQuest) |
| 880 | 8 | |6 505-00/(S |a 22 Applications: Baryon number nonconservation at high energy -- 22.1 Where baryon number violation comes from -- 22.1.1 Chiral theory: what is it-- 22.1.2 Simplifying the standard model -- 22.1.3 Anomalous and nonanomalous global symmetries -- 22.1.4 Instanton-induced effects -- 22.1.5 High temperature -- 23 Instantons at high energies -- 23.1 Cross section of instanton-induced processes -- 23.2 The holy grail function -- 23.3 Total cross section via dispersion relation -- 23.3.1 W bosons -- 23.3.2 Higgs particles -- 23.3.3 Deriving the general formula -- 23.4 Premature unitarization -- 24 Other ideas concerning baryon number violation -- Exercise -- 25 Appendices -- 25.1 Gauge coupling renormalization in gauge theories. Screening versus antiscreening -- 25.2 Relation between PV and the s used in perturbative calculations -- References for Chapter 5 -- 6 Isotropic (anti)ferromagnet: O(3) sigma model and extensions, including CP(N − 1) -- 26 O(3) sigma model -- 26.1 The S field and O(3) model -- 26.2 Representation in complex fields: CP(1) model -- 27 Extensions: CP(N − 1) models -- 27.1 CP(N −1) models -- 27.2 An alternative formulation of CP(N − 1) models -- Exercises -- 28 Asymptotic freedom in the O(3) sigma model -- 28.1 Goldstone fields in perturbation theory -- 28.2 Perturbation theory and background field method -- 28.3 Shortcut (or what you can do with experience) -- 28.4 The β functions of CP(N − 1) -- Exercises -- 29 Instantons in CP(1) -- Exercise -- 30 The Goldstone theorem in two dimensions -- 30.1 The Goldstone theorem -- 30.2 Why does this argument not work in two dimensions-- Exercise -- References for Chapter 6 -- 7 False-vacuum decay and related topics -- 31 False-vacuum decay -- 31.1 Euclidean tunneling -- 31.2 False-vacuum decay in Minkowski space−time -- Exercise -- 32 False-vacuum decay: applications. | |
| 880 | 8 | |6 505-00/(S |a 32.1 Decay of metastable strings -- 32.2 Domain-wall fusion -- 32.3 Breaking flux tubes through monopole pair production: the microscopic physics -- 32.3.1 Formulation of the extended model -- 32.3.2 A brief review of ANO strings -- 32.3.3 Decaying strings: an unwinding configuration -- 32.3.4 A microscopic view of string breaking through tunneling -- Exercise -- References for Chapter 7 -- 8 Chiral anomaly -- 33 Chiral anomaly in the Schwinger model -- 33.1 Schwinger model on a circle -- 33.2 Dirac sea: the vacuum wave function -- 33.3 Ultraviolet regularization -- 33.4 The theta vacuum -- 33.5 Topological aspects -- 33.6 The necessity of the θ Vacuum -- 33.7 Two faces of the anomaly* -- Exercise -- 34 Anomalies in QCD and similar non-Abelian gauge theories -- 34.1 Chiral anomaly in the singlet axial current -- 34.1.1 The Schwinger regularization -- 34.1.2 Pauli-Villars regularization -- 34.1.3 The chiral anomaly for generic fermions -- 34.2 Introducing external currents -- 34.3 Longitudinal part of the current -- Exercise -- 35 't Hooft matching and its physical implications -- 35.1 Infrared matching -- 35.2 Spontaneous breaking of the axial symmetry -- 35.3 Predicting the π0 → 2γ decay rate -- Exercise -- 36 Scale anomaly -- References for Chapter 8 -- 9 Confinement in 4D gauge theories and models in lower dimensions -- 37 Confinement in non-Abelian gauge theories: dual Meissner effect -- 38 The 't Hooft limit and 1/N expansion -- 38.1 Introduction -- 38.2 N-counting and topology -- 38.3 The 't Hooft limit and string theory -- 38.4 Implications of the 1/N expansion in mesons (in brief) -- 38.5 Alternative large-N expansion -- 38.6 Planar equivalence -- 38.7 Baryons in the 't Hooft limit -- 38.8 The N-counting rules for baryons -- 38.9 Meson-baryon couplings and scattering amplitudes -- 38.10 Spin-flavor symmetry for baryons. | |
| 880 | 8 | |6 505-00/Cyrl |a 15.9 The SU(3) example -- 15.10 The Ө term induces a fractional electric charge on the monopole (Witten's effect) -- 15.11 Monopoles and fermions -- 15.11.1 Zero modes for adjoint fermions -- 15.11.2 Dirac fermion in the fundamental representation -- Exercises -- 16 Skyrmions -- 16.1 Preamble: Global symmetries of QCD -- 16.2 Massless pions and the chiral Lagrangian -- 16.3 Baryons as topologically stable solitons -- 16.4 The Skyrmion solution -- 16.5 Skyrmion quantization -- 16.6 Some numerical results -- 16.7 The WZNW term -- 16.8 Determining ν -- 16.9 Beyond the conventional -- Exercises -- 17 Appendix: Elements of group theory for SU(N) -- References for Chapter 4 -- 5 Instantons -- 18 Tunneling in non-Abelian Yang-Mills theory -- 18.1 Nontrivial topology in the space of fields in Yang-Mills theories -- 18.2 Theta vacuum andθ term -- Exercise -- 19 Euclidean formulation of QCD -- Exercise -- 20 BPST instantons: general properties -- 20.1 Finiteness of the action and the topological charge -- 20.2 Entanglement of the color and Lorentz indices -- 20.3 Bogomol'nyi completion and the instanton action -- 21 Explicit form of the BPST instanton -- 21.1 Solution with Q = 1 -- 21.2 Singular gauge. The 't Hooft multi-instanton ansatz -- 21.3 Relations for the η symbols -- 21.4 Instanton in the A0 = 0 gauge -- 21.5 Instanton collective coordinates (moduli) -- 21.6 SU(2) instanton measure -- 21.7 Instantons in SU(N) -- 21.8 The SU(N) instanton measure -- 21.9 Instanton-induced interaction of gluons -- 21.10 Switching on the light (massless) quarks -- 21.11 Tunneling interpretation in the presence of massless fermions. The index theorem -- 21.12 Instantons in the Higgs regime -- 21.12.1 Instanton action -- 21.12.2 IA interaction due to the Higgs field -- 21.13 Instanton gas -- 21.14 The height of the barrier. Sphalerons -- 21.15 Global anomaly -- Exercises. | |
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