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Zinn-Justin J. — Quantum field theory and critical phenomena
Zinn-Justin J. — Quantum field theory and critical phenomena



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Название: Quantum field theory and critical phenomena

Автор: Zinn-Justin J.

Аннотация:

Quantum field theory has become the framework for the discussion of all fundamental interactions except gravity, and for the understanding of second order phase transitions in statistical mechanics. This advanced text for theoretical particle physicists and statistical physicists has been updated to reflect the improved presentation that has resulted from the author's experience in teaching graduate courses. It approaches the subject in terms of path and functional integrals, adopting a Euclidian metric and using the language of partition and correlation functions. Newly added topics include holomorphic or coherent state path integral and non-relativistic limit of massive quantum fields, and each chapter concludes with exercises and solutions.


Язык: en

Рубрика: Физика/Термодинамика, статистическая физика/Квантовые методы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 3rd edition

Год издания: 1996

Количество страниц: 1008

Добавлена в каталог: 11.10.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Langevin equation: dissipative      377
Large field behaviour      878
Large momentum behaviour      748
Large N limit      522 652 679 684
Large order behaviour      871 872 898 914 921
Large order estimate      878
Lattice gas model      649
Lattice gauge theories      731
Lattice QED      739
Lattice regularization      180 307 420
Legendre transformation      91 122
Leptons      461
Lie algebras: conventions      270
Light cone expansion      267
Linear $\sigma$-model      287
Linear differential approximants      889
Linear symmetry breaking      274
Linearly realized continuous symmetries      269
Liouvffle measure      42
Liquid-vapour phase transition      638 649
Littlee group      303
Local group transformations      441
Locality      18 90 118
localization      681
Logarithmic corrections      610
Loop expansion      138
Low temperature expansion      667
Luttinger liquid      730
Magnetic monopole      66 739
magnetic susceptibility      550
Many-body quantum mechanics      158
Marginal operator      570
Markov’s processes      67 77 85
Mass insertion      213
Mass operator      125
Mass renormalization      196
Massless field theories      213
Matrix models      523
Mean field approximation      544
Mean field theory: gauge model      741
Mean field theory: general formalism      560
Mermin — Wagner — Colemau theorem      539 654
Metric tensor      79 508
Minimal subtraction      166 232
Minimal subtraction: modified      236
Monte Carlo methods, simulations      743 764
Multiplicative renormalization      213
Nambu — Goldstone modes      280
Neutral currents      463
Nilpotency      491
Noether’s theorem      295
Noise field      370
Non-abelian anomaly      478
Non-Borel summability      929
Non-linear $\sigma$-model      302 668
Non-linear $\sigma$-model: finite size effects      794
Non-linear $\sigma$-model: O(2)      718
Non-local conserved currents      334
Non-relativists limit      140 156
Non-relaxational model      774
Non-renormalizable theories      172
Normal-order      52 54 59
Normal-ordered vertex      224
O(2) non-linear $\sigma$-model      718
One particle irreducible API)      133
One particle irreducible functional: physical interpretation      135
Operator insertion: CS equations      254
Operator insertion; renormalization      251 255
Operator ordering: divergence      46
Operator product expansion (OPE)      267
Operators: power counting      174
Order dependent mapping      885
Order parameter      529
Ornstein and Zernike form      551
Orthogonal polynomials      526
Overlapping divergences      201
Pade approximants      883
Painleve I equation      528
Parallel transport      441 506 732
Parity      see “Reflections”
Partition function      17 25 27 29
path integral      18 21 41 59 75 80
Pauli matrices      109
Pauli — Villars’s regularization      177 306 417
PCAC      288
Percolation      559
Perimeter law      738
Periodic boundary conditions      25 27 29 778 782
Perturbation theory      3 14 26 27 38 59 77 94 105
Pfaffian      13
Phase space path integral      40
Phase transition: breaking of ergodicity      529 538
plaquette      420 733
Poisson brackets      42
Poisson’s formula      811
Polymers      638
Polymers: statistical properties      644
Positivity of the field RG function      241
Potts model      559
Power counting      173
Power law behaviour      578
Propagator      95
Proper time method      177
Proper time regularization      190
Proper vertices      122
QED: $Z_A = 1/Z_e$      422
QED: compact      739
QED: large order behaviour      879
QED: one-loop $\beta$-function      428
Quadratic symmetry breaking      280
Quantization      78
Quantum Chroraodynamics (QCD)      466 731
Quantum electrodynamics      see “QED”
Quantum gravity      500 516 5l8
Quantum gravity: dimension      2 522
Quantum Jump      849
Quantum statistical operator      66
Quark generations      464
Quartic anharmonic oscillator      812
Quenched approximation      744
Quenched average      541
Random magnetic field      368
Random matrices      523
Ratio of amplitudes      551
Real time quantum mechanics      30
Redundant operator      570
Reflection hermiticity      114
Reflections      112
Regularization: dimensional      183 307
Regularization: lattice      180 307 420
Regularization: non-abelian gauge theories      451
Regularization: Pauli — Villars      177
Regularization: proper time      190
Regularization; non-linear $\sigma$ model      306
Regulator fields      178
Relaxation rates      764
Relevant operator      570
Renormalizahle theories      173
Renormalization      168
Renormalization conditions      198
Renormalization constants      196
Renormalization group      566 (see also “RG”)
Renormalization multiplicative      213
Renormalization of gauge theories      483
Renormalized action      196
Renormalized correlation functions      202
Renormalized field      196
Renormalized form of the action      452
Renormalized parameters      195
Renormalon      663 901
Replica trick      542 647
RG $\beta$-function      338 468
RG equations      466
RG equations: bare      574
RG functions      24 244
Ricci tensor      509
Riemann tensor      507
Riemannian manifold      45 78 226 321 341 385 860
Rigid rotator      47 48 797
Rigid symmetry      271
Roughening transition      740
S-matrix      31 38 93
S-matrix: functional integral      140
S-matrix: gauge independence      497
S-matrix: perturbative expansion      31
Saddle point      3 58
Scalar curvature      345 509
Scale invariance      890
Scaling equation of state      550 626
Scaling laws      589 592 593
Schwinger model      701
Screening length      722
Second order phase transition      548
Self-avoiding random walk      644
Self-duality equations      862
Semiclassical distance expansion: RG equations      263
Semiclassical expansion      127
Semiclassical vacuum      864
Shifting method      827
Short distance expansion (SDE)      259 602
Sigma model      287 302 667
Sine-Gordon (SG) model      699 717 722
Skeleton diagram      199
Slavnov — Taylor (ST) symmetry      352 374 486
Sobotev inequalities      851
Soft breaking      269
Soliton      717 812
Soliton scattering      148
Specific heat exponent $\alpha$      592
Spin connection      512
Spin group      110
Spin-statistics connection      104 155 162
Spinors      110
Spontaneous magnetization      550
Spontaneous symmetry breaking      278 305 854
Stabilizer subgroup      303
staggered fermions      183
Standard Model of weak and electromagnetic interactions      459
Statistical mechanics: quantum, classical      28
Steepest descent method      3 127
Stereographic mapping      905
Stochastic differential equations      67
Stochastic dynamics      448
Stochastic field equation      365
Stochastic process: phase transition      538
Stochastic variables      359
Streaming term      764
Strong coupling expansion      738
Strong CP violation problem      865
Strong scaling      587
Summation methods      863
Super-diagrams      398
Super-renormalizable field theories      172 223
Superficial degree of divergence (Feynman diagram)      170
Superfield      377
Superfield: scalar      391
Superfield: vector      393
Supersymmetric curvature tensor      394
Supersymmetric free gauge action      395
Supersymmetric gauge transformation      394
Supersymmetry      155 364 377 766
Supersymmetry in four dimensions      389
Surface tension      809
Symmetric space      332 453 680
Symmetries: linear realization      269
Symmetry breaking: soft      285 269
Symmetry restoration      859
Symmetry: local, gauge      409
T wisted boundary conditions      783
T-product      38 see “Time-Ordered”
Temporal gauge      413 416 445 736
Tensors      500
Thirring model      704
Thirring model: SU(2) invariant      708
Thirring model: SU(N)      714
Thsta-vacuum      864 917
Time-ordered product      29 38
Topological action      62
Topological charge      862
Topological properties      478
Topological quantity      863
Torsion      504
Transfer matrix      199 531
Transport coefficients      764
Tree level action      196
Tricritical behaviour      623
Tricritical point      557
Triviality of the $\phi 4$ field theory      750
Triviality problem      289 532 748
Twist      267
Two-instanton configuration      908
Two-point correlation function      39 246
U(1) problem      460 855
Uniaxial ferromagnet      617
Unitarity      145 156
Unitarity relations      425
Unitary gauge      407 431 454
Universal critical behaviour      574
Universality      529 568 587
Universality classes      568
Unstable vacua in field theory      340
UV divergences      164
UV fixed points      748
UV singularities      164
VACUUM      93
Vacuum energy      437
Van Vleck’s formula      830 838
Vector field: massive      404 454 457
Vielbein      79 511
Volume element, invariant      510
Vortex excitations      726
W-gauge boson      461
Ward — Takahashi      see “WT identities”
Weak angle $\theta_W$      461
Weak interactions      see “Standard Model”
Weinberg’s theorem      213
Wess — Zumino (WZ) gauge      394
Wess — Zumino consistency conditions      481
Wheeler — DeWitt equation      518
Wick’s theorem      2 4 14 26 95
Wigner quantization      41
Wilson’s fermions      182
Wilson’s loop      731
Winding number      863
WKB expansion      931
WT identities      269 272 309 326 330 379 452
XY model: classical 2D      728
Yang — Lee edge singularity      164-
Yang — Mills field      442
Yukawa couplings      464
Yukawa type interaction      245
Z-gauge boson      461
zero modes      782
‘t Hooft’s gauge      433 455
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