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Quantum Field Theory in a Nutshell 2ed (ISE)

by A Zee Princeton University Press
Pub Date:
02/2010
ISBN:
9780691140346
Format:
Hbk 608 pages
Price:
AU$95.00 NZ$100.00
Product Status: Not Our Publication - we no longer distribute
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Instructors
& Academics:
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 appendixes, 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

ABRIDGED CONTENTS:Part I: Motivation And Foundation / Part II: Dirac And The Spinor / Part III: Renormalization And Gauge Invariance / Part IV: Symmetry And Symmetry Breaking / Part V: Field Theory And Collective Phenomena / Part VI: Field Theory And Condensed Matter / Part VII: Grand Unification / Part VIII: Gravity And Beyond


CONTENTS:
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

A beautiful exposition of the way modern field theorists think about quantum field theory, packed with insights and physical intuition. Zee's book should be required reading for every serious student of the subject. Nima Arkani-Hamed, Institute for Advanced Study
A. Zee is professor of physics and a permanent member of
the Kavli Institute for Theoretical Physics at the University of
California, Santa Barbara. His books include Fearful Symmetry:
The Search for Beauty in Modern Physics (Princeton).