Zee A. — Quantum field theory in a nutshell :: Электронная библиотека попечительского совета мехмата МГУ

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Zee A. — Quantum field theory in a nutshell

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Название: Quantum field theory in a nutshell

Автор: Zee A.

Аннотация:

"A quantum field theory text for the twenty-first century, this book makes the essential tool of modern theoretical physics available to any student who has completed a course on quantum mechanics and is eager to go on." Without a solid understanding of quantum field theory, no student can claim to have mastered contemporary theoretical physics. Offering a remarkably accessible conceptual introduction, this text will be widely welcomed and used.

Язык:

Рубрика: Физика/Квантовая теория поля/Учебники/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2003

Добавлена в каталог: 11.10.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

$R_{\xi}$ gauge      240 241
$\sigma$ meson      319 320
$\sigma$ model      318—319
$\sigma$ model for ferromagnets and antiferromagnets      323 324
$\sigma$ model, nonlinear      320 323
$\theta$ term      232
$\varphi^{4}$ theory, renormalizability of      158 160
3-brane      38—40
Abrahams, Elihu      347
Adler, Steve      251
Aharonov — Bohm effect      223—224 235 295 299
Amplitudes      see “Meson-meson scattering amplitude”
Amplitudes as analytic functions      189
Amplitudes, symmetry in      72
Analyticity of Feynman diagrams      189 (see also “Nonanalyticity”)
Anderson localization      330—331 334
Anderson localization in renormalization group language      347—349
Anderson mechanism      237
Anderson, Phil, in “Gang of Four”      347
Anderson, Phil, Nobel Prize for      331
Angular momentum, addition of      468
Anharmonicity in field theory      41 85
Anomaly (axial anomaly/chiral anomaly)      243 248
Anomaly (axial anomaly/chiral anomaly) and path integral formalism      252
Anomaly (axial anomaly/chiral anomaly) in nonabelian gauge theory      250
Anomaly (axial anomaly/chiral anomaly), alternative ways of deriving      253
Anomaly (axial anomaly/chiral anomaly), consequences of      248—252
Anomaly (axial anomaly/chiral anomaly), Feynman diagram calculation revealing      243—247
Anomaly (axial anomaly/chiral anomaly), grand unification and freedom from      395—396 414
Anomaly (axial anomaly/chiral anomaly), higher order quantum fluctuations and      286
Anomaly (axial anomaly/chiral anomaly), nonrenormalization of      251
Anthropic selection      436
Anticommutation, spin-statistics connection and      119 121
Anticommutation, wave function of electrons and      103
Antiferromagnet (antiferromagnets), effective low energy description of      322—323
Antiferromagnet (antiferromagnets), magnetic moments in      322
Antiferromagnet (antiferromagnets), Neel state for      324
Antikink (antikinks)      279 280f
Antimatter, discovery of      97
Antineutrino field in SO(10) unification      409—410
Antiunitary operator, time reversal as      99
Anyon (anyons)      293
Anyon (anyons), interchanging      294
Anyon (anyons), statistics between      295
Approximation, steepest-descent      15
area law      360 370
Asymptotically free theories      341 369 373
Asymptotically free theories, Gross — Neveu model as      387
Atom (atoms), interaction with radiation      3
Attraction, quantum field theory on      32—34
Attraction, spin 1 particle and      35
Attraction, spin 2 particle and      35
Auxiliary field      174 449—450
axial anomaly      see “Anomaly”
Axial current conservation, quantum fluctuations destroying      247—248
Bardeen, Bill      251
Bare perturbation theory      160
Baryon number conservation, law of      397
Baryon number conservation, law of, grand unification and violation of      403
Berry’s phase term in ferromagnets and antiferromagnets      323 325
Berry’s phase, nonabelian      235 325
Beta decay      441
Bethe, Hans      347
Bianchi identity      219 233
Bjorken, James      337
Black hole (holes), Hawking radiation from      264—265
Black hole (holes), Schwarzschild      287—288
Bludman, Sid, Yang — Mills theory and      361
Bogoliubov calculation of gapless mode      258 260
Bogoliubov, N.N.      174
Bogomol’nyi inequality      280—281
Bogomol’nyi inequality for mass of monopole      285
Bogomol’nyi — Prasad — Sommerfeld (BPS) states      285
Bohr, Niels      224
Boltzmann, Ludwig      141 261
Boltzmann, Ludwig, on entropy      287
Bose field, mass correction to, divergence of      165
Bose — Einstein condensation      270
Bose — Einstein statistics      117
Boson (bosons) and fermions, unification of      443
Boson (bosons) in nonrelativistic theory      174—175
Boson (bosons), electron pairing into      270
Boson (bosons), gapless mode in      258
Boson (bosons), gauge      see “Gauge boson(s)”
Boson (bosons), intermediate vector, and Fermi theory of the weak interaction      156—157 285
Boson (bosons), Lorentz invariant scalar field theory on      172
Boson (bosons), mass correction for, divergence of      165 166
Boson (bosons), massless, emergence of      196—198
Boson (bosons), Nambu — Goldstone      see “Nambu — Goldstone boson(s)”
Boson (bosons), nonabelian gauge (Yang — Mills)      230 369 420
Boson (bosons), repulsion of      257 316
Boson (bosons), “bad” behavior of      166
BPS (Bogomornyi — Prasad — Sommerfeld) states      285
Brane world scenarios      38—40 436
Brezin, Edouard      385
Brillouin zone      273
Brink, Lars      453
Burgoyne, N.      118
Canonical formalism      61—64
Canonical formalism and degrees of freedom      67
Canonical formalism and Feynman diagrams      42
Canonical formalism for spinor field      221
Canonical formalism vs. path integral formalism      42 61 67
Canonical formalism, propagator in      67
Canonical formalism, time ordering in      67—68
Casimir force between two plates      65—67 66f
Central identity of quantum field theory      167 460
Charge      see “Electric charge” “Magnetic
Charge as generator      74
Charge conjugation      97—98
Charge conjugation in grand unification      413—414
Charge in dual theory, vortices as      310—312
Charge of quasiparticles      305—306
Charge quantization, deducing      118
Chern — Simons term      295
Chern — Simons term and Maxwell term      298
Chern — Simons term for Hall fluid      304
Chern — Simons term in nonrelativistic theory      298
Chern — Simons term, gauge invariance of      306
Chern — Simons term, massive Dirac fermions and      297—298
Chern — Simons theory      296—297
Chern — Simons theory, effective theory of Hall fluid as      302
Chew, Geoff      101
Chiral anomaly      see “Anomaly”
Chiral superfield      447 448
Chiral symmetry of strong interaction      205 370 371
Chiral symmetry, condition for      404
Chiral symmetry, conserved current associated with      96
Classical limit, path integral formalism for taking      19
Classical physics, symmetry of      243
Clifford algebra and Dirac bilinears      93
Clifford algebra and Dirac equation      90—91
Closed forms      219
Coherence length      271
Coleman — Mermin — Wagner theorem      200
Coleman — Weinberg effective potential      211
Coleman, Sidney      224 455
Color, quark      368 369
Condensation and superconductivity      270
Condensed matter physics, critical dimension in      345 349
Condensed matter physics, disordered systems studied by      330 334
Condensed matter physics, goal of      306
Condensed matter physics, Goldstone’s theorem in      199—200
Condensed matter physics, impurities studied by      334
Condensed matter physics, length scales in      154
Condensed matter physics, momentum density in      173
Condensed matter physics, number conjugate to phase angle in      174
Condensed matter physics, particle physics and      255 437—438
Condensed matter physics, quantum field theory and      5 172 255
Condensed matter physics, quantum Hall effect and      331—332

Condensed matter physics, quasiparticles in      304
Condensed matter physics, renormalization group in      341—344
Condensed matter physics, spin-statistics rule and      117
Conductivity vs. conductance      347—348
Connected graphs vs. disconnected graphs      27—29 46
Conserved current and chiral symmetry      96
Conserved current and continuous symmetry      73—74
Conserved current, charge associated with      74
Conserved current, momentum space version of      131
Continuous symmetry      71—72 197
Continuous symmetry breaking      196
Continuous symmetry breaking and massless fields      198—199
Continuous symmetry breaking, Coleman — Mermin — Wagner theorem on      200
Continuous symmetry, conserved current and      73—74
Cooper pairs of electrons      270
Coordinate transformations      76—77
Cosmic coincidence problem      436
Cosmological constant      434—435
Cosmological constant problem      435
Cosmological constant problem, approach to      440
Cosmological constant problem, roots of      434
Cosmological constant problem, string theory’s inability to resolve      436
Cosmological constant problem, supersymmetry as solution to      443
Cosmological constant, measured in units of $Gev^{4}$       435—436
Cosmological constant, order of magnitude of      435
Coulomb potential, modification of      190
Coulomb’s electric force and Newton’s gravitational force, comparison of      27
Coulomb’s electric force, quantum field theory on      30—31
Counterterms in Feynman diagrams      160—161 161f
Counterterms, cutoff dependence absorbed by      212
Counterterms, nonrenormalizable theories and      164 212
Coupling constant (constants)      148 158
Coupling constant (constants) as misnomer      340
Coupling constant (constants) of electromagnetic interaction      340
Coupling constant (constants), dimensionless      155
Coupling constant (constants), hadron proliferation and      202
Coupling constant (constants), pion-nucleon      206
Coupling constant (constants), renormalized      150
Coupling constant (constants), Yang — Mills      231—232
Coupling renormalization      158—159
Coupling, electromagnetic      339
CPT theorem      101
Critical dimension in condensed matter physics      345 349
Critical phenomena      267
Critical phenomena, complete theory of      269
Critical phenomena, Landau — Ginzburg theory of      268—269
Current conservation      see “Conserved current”
Curved spacetime, Dirac action in      430
Curved spacetime, introduction to      79—82
Curved spacetime, quantum field theory in      77 264
Cutoff dependence      148
Cutoff dependence of meson-meson scattering amplitude      158
Cutoff dependence, avoiding in physical perturbation theory      161
Cutoff dependence, counterterms absorbing      212
Cutoff dependence, disappearance of      150 151
Dashen, Roger      389
Deser, Stanley      453
Di Vecchia, Paolo      453
Differential forms      218—219
Differential forms, use in nonabelian gauge theory      228 229
Differential operator, propagator as inverse of      22
Dilation invariance      79n
Dimensional analysis      154—155 438
Dimensional analysis on meson-meson scattering amplitude      158
Dimensional regularization      151 152—153 187
Dirac basis vs. Weyl basis      95—96
Dirac bilinears      93
Dirac equation      89—102
Dirac equation and degrees of freedom, reduction in      91
Dirac equation in curved spacetime      430
Dirac equation in solid state physics      273 274
Dirac equation, Clifford algebra and      90—91
Dirac equation, derivation of      115
Dirac equation, electromagnetic field and      97
Dirac equation, handedness and      96
Dirac equation, Lorentz transformation and      92—93
Dirac equation, magnetic moment of electron in      177—178
Dirac equation, origins of      89—90
Dirac equation, parity and      94
Dirac equation, solving      95
Dirac equation, time reversal and      100—101
Dirac field, interacting with scalar field, Feynman rules for      53—54 471—472
Dirac field, interacting with vector field      97
Dirac field, interacting with vector field, Feynman rules for      128 128f 472—473
Dirac field, propagator for      126
Dirac field, quantizing      103—110 120
Dirac field, quantizing by Grassmann path integral      126
Dirac field, vacuum energy of      107—108 124
Dirac operator      109
Dirac spinor      90 92
Dirac spinor and supersymmetry      111
Dirac spinor, components of      114
Dirac, Paul      101
Dirac, Paul, metaphorical language of      109
Dirac, Paul, on electric charge, quantizing of      394
Dirac, Paul, on magnetic monopole      285
Dirac, Paul, on path integral formalism      10—13
Dirac, Paul, on positron      5
Dirac, Paul, on quantum mechanics and magnetic monopoles      217
Dirac, Paul, on spinor representation      114
Dirac, Paul, teaching style of      439
Disorder, Anderson localization of      330—331 334
Disorder, condensed matter physics and study of      330 334
Disorder, Grassmannian approach to      334
Dispersion relations      207
Divergence (divergences) in quantum field theory      56—57 145—146
Divergence (divergences) with fermions      163—164
Divergence (divergences), degree of      161—163
Divergence (divergences), dependence on dimension of spacetime      165
Divergence (divergences), logarithmic      160 161—162
Divergence (divergences), superficial degree of      161 165
Divergence (divergences), total, under supersymmetric transformation      447—448
Dotted and undotted notation      113—114 479—482
Dotted and undotted notation, replacing      457
Double-line formalism      378 379
Double-slit experiment      7 8f
Double-slit experiment, expansion of      7—9 8f 9f
Double-well potential      194 194f
Drell, Sid      337
Dual theory, vortices as charges in      310—312
Duality and linking of perturbative weak coupling to strong coupling      455
Duality in (2+1)-dimensional spacetime      313
Duality of monopoles      312—313
Duality of string theories      313
Duality, concept of      309 310
Duality, electromagnetic      222
Duality, nonrelativistic treatment of      314—316
Duality, relativistic treatment of      313—314
Duality, vortex      312
Dynamical symmetry breaking      201
Dynamical symmetry breaking, example of      371
Dynamical variable in quantum field theory      18
Dyon      285
Dyson gas approach      384—386
Dyson, Freeman      59
Effective field theory and renormalization group flow      438
Effective field theory of Hall fluid      302—303 437—438
Effective field theory of neutrino masses      441
Effective field theory of proton decay      440—441
Effective field theory, development of      437
Effective field theory, Fermi theory of the weak interaction as      441
Effective field theory, predictive power of      441—442
Effective potential      209—210
Effective potential, Coleman — Weinberg      211
Effective potential, generated by quantum fluctuations      215
Ehrenfest, P.      427
Einstein Lagrangian, linearized      32
Einstein — Hilbert action for gravity      419—420
Einstein — Hilbert action for gravity, Newtonian gravity derived from      424—425
Einstein — Hilbert action for gravity, Yang — Mills action compared with      420—421

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