A new, updated and enhanced edition of the classic work, which was welcomed for its general approach and self-sustaining organization of the chapters. Written by a highly respected textbook writer and researcher, this book has a more general scope and adopts a more practical approach than other books. It includes applications of condensed matter physics, first developing traditional concepts, including Feynman graphs, before moving on to such key topics as functional integrals, statistical mechanics and Wilson's renormalization group. The author takes care to explain the connection between the latter and conventional perturbative renormalization. Due to the rapid advance and increase in importance of low dimensional systems, this second edition fills a gap in the market with its added discussions of low dimensional systems, including one-dimensional conductors. All the chapters have been revised, while more clarifying explanations, problems, and solutions have been added.

Kerson Huang is Professor Emeritus of Physics at the Massachusetts Institute of Technology, Cambridge, USA, and a leading authority on quantum physics. He is a highly experienced textbook writer and has written (among other books) Statistical Mechanics, also published by Wiley. Professor Huang's current research interests include biophysics and quantum cosmology.

Introducing Quantum Fields	p. 1
The Classical String	p. 1
Renormalization	p. 5
The Quantum String	p. 5
Second Quantization	p. 6
Creation and Annihilation Operators	p. 9
Bose and Fermi Statistics	p. 11
Scalar Fields	p. 17
Klein-Gordon Equation	p. 17
Real Scalar Field	p. 18
Energy and Momentum	p. 19
Particle Spectrum	p. 21
Continuum Normalization	p. 22
Complex Scalar Field	p. 23
Charge and Antiparticle	p. 25
Microcausality	p. 26
The Feynman Propagator	p. 27
The Wave Functional	p. 29
Functional Operations	p. 30
Vacuum Wave Functional	p. 32
The ø⁴ Theory	p. 34
Relativistic Fields	p. 39
Lorentz Transformations	p. 39
Minimal Representation: SL(2C)	p. 41
The Poincaré Group	p. 43
Scalar, Vector, and Spinor Fields	p. 45
Relativistic Quantum Fields	p. 47
One-Particle States	p. 48
Canonical Formalism	p. 55
Principle of Stationary Action	p. 55
Noether's Theorem	p. 57
Translational Invariance	p. 58
Lorentz Invariance	p. 61
Symmetrized Energy-Momentum Tensor	p. 63
Gauge Invariance	p. 65
Electromagnetic Field	p. 69
Maxwell's Equations	p. 69
Covariance of the Classical Theory	p. 71
Canonical Formalism	p. 73
Quantization in Coulomb Gauge	p. 75
Spin Angular Momentum	p. 78
Intrinsic Parity	p. 79
Transverse Propagator	p. 81
Vacuum Fluctuations	p. 82
The Casimir Effect	p. 84
The Gauge Principle	p. 88
Dirac Equation	p. 95
Dirac Algebra	p. 95
Wave Functions and Current Density	p. 98
Plane Waves	p. 99
Lorentz Transformations	p. 102
Interpretation of Dirac Matrices	p. 105
External Electromagnetic Field	p. 106
Non-Relativistic Limit	p. 108
Thomas Precession	p. 110
Hole Theory	p. 112
Charge Conjugation	p. 115
Massless Particles	p. 116
The Dirac Field	p. 123
Quantization of the Dirac Field	p. 123
Feynman Propagator	p. 126
Normal Ordering	p. 128
Electromagnetic Interactions	p. 128
Isospin	p. 129
Parity	p. 131
Charge Conjugation	p. 132
Time Reversal	p. 133
Dynamics of Interacting Fields	p. 139
Time Evolution	p. 139
Interaction Picture	p. 140
Adiabatic Switching	p. 142
Correlation Functions in the Interaction Picture	p. 145
S-Matrix and Scattering	p. 147
Scattering Cross Section	p. 148
Potential Scattering	p. 151
Adiabatic Theorem	p. 154
Feynman Graphs	p. 159
Perturbation Theory	p. 159
Time-Ordered and Normal Products	p. 160
Wick's Theorem	p. 161
Feynman Rules for Scalar Theory	p. 164
Types of Feynman Graphs	p. 169
Vacuum Graph	p. 169
Self-Energy Graph	p. 170
Connected Graph	p. 170
Wick Rotation	p. 171
Regularization Schemes	p. 172
Linked-Cluster Theorem	p. 173
Vacuum Graphs	p. 174
Vacuum Correlation Functions	p. 181
Feynman Rules	p. 181
Reduction Formula	p. 184
The Generating Functional	p. 387
Connected Correlation Functions	p. 188
Lehmann Representation	p. 189
Dyson-Schwinger Equations	p. 192
Bound States	p. 195
Bethe-Salpeter Equation	p. 198
Quantum Electrodynamics	p. 203
Interaction Hamiltonian	p. 203
Photon Propagator	p. 205
Feynman Graphs	p. 209
Feynman Rules	p. 214
Properties of Feynman Graphs	p. 215
Processes in Quantum Electrodynamics	p. 219
Compton Scattering	p. 219
Electromagnetic Form Factors	p. 223
Anomalous Magnetic Moment	p. 227
Charge Distribution	p. 230
Perturbative Renormalization	p. 235
Primitive Divergences in QED	p. 235
Electron Self-Energy	p. 237
Vacuum Polarization	p. 241
Running Coupling Constant	p. 244
Full Vertex	p. 245
Ward Identity	p. 246
Renormalization to Second Order	p. 248
Renormalization to All Orders	p. 249
Callan-Symanzik Equation	p. 253
Triviality	p. 255
Path Integrals	p. 261
Path integrals in Quantum Mechanics	p. 261
Time-ordering	p. 264
Imaginary Time	p. 265
Path Integrals in Quantum Field Theory	p. 266
Euclidean Space-time	p. 267
Vacuum Amplitudes	p. 268
Statistical Mechanics	p. 271
Gaussian Integrals	p. 273
Perturbation Theory	p. 276
The Loop Expansion	p. 279
Boson and Fermion Loops	p. 280
Grassmann Variables	p. 282
Broken Symmetry	p. 291
Why Broken Symmetry	p. 291
Ferromagnetism	p. 294
Spin Waves	p. 296
Breaking Gauge Invariance	p. 299
Superfluidity	p. 302
Ginsburg-Landau Theory	p. 305
Effective Action	p. 307
Effective Potential	p. 308
Renormalization	p. 315
The Cutoff as Scale Parameter	p. 315
RG Trajectories	p. 318
Fixed points	p. 319
Momentum Space RG	p. 320
Real Space RG	p. 322
Renormalization of Correlation Functions	p. 325
Relevantand IrrelevantParameters	p. 326
The Free Field	p. 327
IR Fixed Point and Phase Transition	p. 329
Crossover	p. 330
Perturbative Renormalization Revisited	p. 331
Critical Evaluation	p. 332
Why Correct Theories Are Beautiful	p. 333
The Gaussian Fixed Point	p. 339
Stability of the Free Field	p. 339
General Scalar Field	p. 340
Feynman Graphs	p. 341
Wegner-Houghton Equation	p. 343
Renormalized Couplings	p. 346
The RG Matrix	p. 348
Non-Triviality and Asymptotic Freedom	p. 351
The Case d = 2	p. 353
In two Dimensions	p. 357
Absence of Long-Range Order	p. 357
Topological Order	p. 358
XY Model	p. 360
Kosterlitz-Thouless Transition	p. 364
Vortex Model	p. 364
2D Superfluidity	p. 366
RG Trajectories	p. 368
Universal Jump of Superfluid Density	p. 372
Topological Excitations	p. 375
Topological Soliton	p. 375
Instanton and Tunneling	p. 378
Depinning of Charge Density Waves	p. 379
Nonlinear Sigma Model	p. 383
The Skyrmion	p. 385
The Hopf Invariant	p. 389
Fractional Spin	p. 391
Monopoles, Vortices, and Anomalies	p. 393
Background Material	p. 399
Notation	p. 399
Classical Mechanics	p. 400
Quantum Mechanics	p. 401
Superfluidity	p. 405
Linear Response	p. 405
Normal Fluid and Superfluid	p. 406
Superfluid Density	p. 408
Polchinski's Renormalization Equation	p. 411
Renormalization Scheme	p. 411
The Equation	p. 412
Asymptotically Free Scalar Field	p. 414
Index	p. 417
Table of Contents provided by Ingram. All Rights Reserved.

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.