Zinn-Justin J. — Quantum field theory and critical phenomena :: Электронная библиотека попечительского совета мехмата МГУ

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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:

This work, which does not claim to shed any light on any difficult problems, simply tries to describe particle physics and critical phenomena in statistical mechanics in a unified framework.

Язык:

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

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1989

Количество страниц: 914

Добавлена в каталог: 11.10.2005

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

Предметный указатель

$\beta$ -function      181-
$\gamma s$ matrix      102
$\gamma$ matrices: traces      110
$\pi_0$ meson: electromagnetic decay      470
$\theta$ -vacuum      828
$\varepsilon$ -expansion      549
1PI functional physical interpretation      129
Abelian anomaly      470
Affine connection      330 441
Almost planar interface model      723
Amplitude ratios      610
Amputated correlation functions      119
Anharmonic oscillator      835 896
anomalies      460 749
Anomalous dimension      554
Anticomrrmtation relations      38
Antiperiodic boundary conditions      41
Approximants      840
area law      738.’
asymptotic freedom      468 656 735 753
Asymptotic series      840
Background field      205 350
Band structure      820
Bare action      172
Bare correlation functions      179
Bare parameters      172
Bare RG equations      550
Bargmann potential      780
Barrier penetration      770
Bianchi identity      332
Binary fluids      621
Borel summability      604 659 842
Borel summation      615 887
Borel transformation      841
Borel — Leroy transformation      615
Brillouin zone      156
Brownian chain      626
Brownian motion      21 57
BRS operator      488
BRS symmetry      358 361 385 445 486
BRS transformations      448 488
Cabibbo angle      461
Callan-Symanzili (CS) equation      182
Canonical dimensions      140
Canonical invariance      25 493
Canonical traasformations      24
Canonical transformation in phase space      795
Charge conjugation      107
Chiral anomalies      163 475 675 748
Chiral components      106
Chiral models      343 390
Chiral symmetry      109 270
Chiral symmetry, spontaneous breaking      748
Chirality      679
Chnstoffel symbol      330-
Classical field equation      443
Classically integrable hamiltonian systems      795
Classically mtegrable field theories      797
Clifford algebra      9 102
Cluster properties      116 510
Coleman-Gross theorem      753
Collective coordinates      778 786
Colour quantum number      462 763
Commutation relations      83
Compatibility conditions      254
Composite operators      148
confinement      462 730 735 748
Conformal invariance      618 661 869
Conformal transformations      286
Connected correlation functions      115
Connected correlation functions decay of      133
Conserved current      407
Convexity      121
Correlation functions      36 85
correlation length      502
Correlation time      688 723
Coset space      310
Cosine potential      820 888 889
Coulomb gas      661
Coulomb gauge      431
Coulomb potential      46
Counterterms      172
Coupling constant renormalization      172
Covariant curl      331
Covariant derivative      330 409 441
Covariant gauge      447
Covariant volume element      333
CP(N - 1) model      825
Critical domain      548
Critical exponents      see “Exponents”
Critical slowing down      682
Critical temperature      521
Crossover exponent      577
Current non-conservation equation      480
Currents      280
Curvature tensor      332 409 442 732
Cyclic identity      332
Decay of the false vacuum      811
Decay rate      772
Deep inelastic scattering      765
Degenerate minima      817 838 878
Detailed balance      63 76
Determinants      6 31 64
Dilatation current      284
Dilute gas approximation      883
Dimension of fields      140
Dimension of fields of composite operators      149
Dimension of fields of vertices      142
Dimensional regularization      158 295
Dimensional regularization fermions      163
Dipolar forces (strong)      594
Dirac $\delta$ functions      5 15 97
Dirac $\gamma$ matrices      102
Dirac fermions      98 102
Dirac operator      476
Discrete symmetries      269
Dissipative couplings      682
Dissipative Langevin equation      62
Divergences      28 136
Double-well potential      817 879
Dressed skeleton diagram      176
Drift (driving) force      63 682
Dynamic correlation functions      380
Dynamical critical exponent z      687
Dynamical scaling      686 689
Dyson — Schwinger equations      92
Effective potential      720
Eikonal approximation      45
Einstein’s action      333
Electromagnetic hamiltonian      26
Electron-positron annihilation      766
Elitzur’s conjecture      308 657
Elitzur’s conjecture theorem      735 741
Energy momentum tensor      283
Equation of state      523 568 607 639
Equation of state, large N expansion      639
Equations of motion      92 236
Equilibrium distribution      61
Ergodicity      502 513
Euclidean action      21 84
Evolution operator      19 38 84
Exponent $\alpha$ (specific heat)      567
Exponent $\beta$       522 570
Exponent $\beta$ large N-expansion      637
Exponent $\delta$       570
Exponent $\eta$       554
Exponent $\eta$ , large N expansion      642
Exponent $\eta, \varepsilon = d-2$ expansion      656
Exponent $\gamma$       566
Exponent $\gamma$ , large N-expansion      642

Exponent $\nu$       563
Exponent $\nu$ , large N-expansion      638
Exponent $\nu, \varepsilon = d-2$ expansion      656
Exponent $\omega$       553
Exponents definitions, classical values      522
Faddeev-Popov quantization      429 444
Faddeev-Popov “ghosts”      444
Fermi constant      458
Fermi theory of charged weak interactions      459
Fermion loops      100
Fermion propagator      99
Fermions and large order behaviour      871
Feynman diagrams      90 117 450
Feynman gauge      408 450
Feynman parameters      214
Feynman — Kac formula      18
Field amplitude renormalizafcion      172
Fierz transformation      112
Finite size scaling      699
First order phase transition      520
Fixed point hamiltonian      542
Flavour quantum number      462 763
Flory’s approximation      627
Fluctuation-dissipation theorem      684
Flux tube      741
Fokker — Planck equation      60 69 378
Fokker — Planck hamiltonian      724
Fourier transforms      135
Free energy      506 519
Functional differentiation      6 34 41
Functional integral      84
Functional integral, perturbative definition      91
Gauge dependence      417
Gauge field      341 441
Gauge field-fermion vertex      466
Gauge group SU(2)      826
Gauge independence      499
Gauge invariance      27 341
Gauge invariant action      443
Gauge invariant operators      420 499
Gauge section      446
Gauge theories      406 440 483
Gauge transformations      442
Gauges      408
Gauges, geaeral      494
Gaussian fixed point      546-
Gaussian integral      1 3 4 13 27 29 40 86 98
Gaussian white noise      57
Gauss’s law      427 447
Generating functionals      114
Generations      461
Ghost equation of motion      498
Global symmetry      254
Gluonium      730
Gluons      462
Goldbergei — Treiman Telation      274 277
Goldstone bosons      263
Grassmann algebra      7 39 98 102
Grassmann coordinates      362
Grassmann differentiation      7
Gribov’s ambiguity      376 445
Hamilton — Jacobi equations      795
Hamiltonian formalism      446
harmonic oscillator      29
Helium superfluid transition      621
Hermitian conjugation      108
Hermitian hamiltonian      62
Higgs mechanism, boson      451 457
Higgs mechanism, boson, abelian      421
High temperature (HT) expansion      517
Hilbert space      31
Holomorphic representation      42
Holonomy group      338
Homogeneous CS equation      192
Homogeneous RG equations      196
Homogeneous spaces      309 335
Homotopy classes      827
Hubbard transformation      517
Hyperscaling relations      585
Improved action      593
Infinitesimal change of variables      94
Infrared (IR) divergences      295
Infrared regulator      450
instantons      477 770 785
Instantons and renormalization      807
Interaction representation      37 43 55
Interface model (almost pfanar)      723
Irrelevant operators      545 589
Ising model      504
Ito calculus      80
Jacobian      5 10
Jacobi’s identity      332 495
Josephson’s parametrization      608
Kallen — Lehmann representation      38
Kobayashi — Maskawa matrix      461
Kosterlitz — Thouless phase, transition      661
Landau gauge      408 450
Landau ghost      864
Landau theory      526
Landau — Ginsburg — Wilson hamiltonian      547
Langevin equation      57 378 682 832
Langevin equation discretized      79
Langevin equation purely dissipative      386
Large field behaviour      874
Large momentum behaviour      753
large N-expansion      642
Large order behaviour      835 862 875 887 896
Lattice gas model      631
Lattice gauge theories      730
Lattice regularization      155 293 414
Legendre transformation      83 117
Lie algebras: conventions      252
Light cone expansion (LCE)      250
Linear $\sigma$ -model      272
Linear differential approximants      851
Linear gauges      497
Linear symmetry breaking      258
Liouville measure      24
Liquid-vapour transition      621
Little group      289
Local group transformations      440
Locality      20 83 114 409
localization      660
Logarithmic corrections      586
Loopwise expansion      126 131
Low temperature expansion      646
Lower critical dimension      762
Magnetic monopolies      740
magnetic susceptibility      522
Marginal operators      544
Markov’s processes      57 68 73
Mass insertion      192
Mass operator      121
Mass renormalization      172
Massive Thirling model      665
Massive vector field      406
Massless field theory      192
Mean field approximation      516
Mean field theory      516 533
Mean field theory, gauge theory      742
Mermin — Wagner — Coieman theorem      514 637
Method of characteristics      552
Metric tensor      69 330
Minimal subtraction      139 211
Modified      214
Monte Carlo simulations      682 744
Multi-instantons      878
Multiplicative renormalization      191
Nambu — Goldstone modes      263
Neutral currents      459

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