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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
Abelian anomaly      472
Almost planar interface model      810
Amplitude ratios      629
Amputated correlation functions      124
Anharmonic oscillator      871 922
anomalies      459 464
Anomalous dimension      578
Anticommutation relations      56
Antiperiodic boundary conditions      59
area law      738
asymptotic freedom      338 471 678 703 735 748
Asymptotic series      880
Axial current: partial conservation (PCAC)      288
Background field      147 156 227 339
Band structure      856
Bare action      196
Bare correlation functions      202
Bare parameters      195
Bare RG equations      574
Bargmann potential      820
Barrier penetration      8l2
Bianchi identity      508
Binary fluids      638
Borel summability      624 680 882 912
Borel summation      634 914
Borel transformation      881
Borel — Leroy transformation      634
Bosonization      689
Boundary conditions: twisted      783
Brillouin zone      181
Brownian chain      644
Brownian motion      2067
BRS exact      355
BRS operator      487
BRS symmetry      330 352 355 376 448 449 486
Cabibbo angle      465
Callan — Symanzik (CS) equation      204
Canonical (engineering) dimension      168
Canonical invariance      42491
Canonical transformation in phase space      8
Canonical transformations      42
Casimir effect      438
Characteristics method of      576
Charge conjugation      112 155
Chiral anomaly      187 476 698 701
Chiral components      111
Chiral gauge invariance      713
Chiral invariant Gross — Neveu model      714
Chiral models      333 382
Chiral symmetry      114 189 245 286 682 706 708
Chiral symmetry: spontaneous breaking      701 703
Christoffel symbol      504
Classical field equation      445
Clifford algebra      8108
Cluster properties      121 536
Coherent states      61
Coleman — Gross theorem      748
Collective coordinate      818 826 843
Colour quantum number      463 466 731 758
Commutation relations      91
Compatibility conditions      271 358
Composite operators      174
confinement      466 701 703 731 735
Conformal invariance      636 689 905
Conformal transformations      300
Connected correlation functions      120
Connected correlation functions: decay of      161
Connection      442 504
Conserved current      406
Constraints: integral representation      4
Convexity      125
Correlation functions      287 193
correlation length      529 551
Correlation time      768 801
Coset space      322
Cosine potential      856 916
Cosmological term      522
Coulomb gas      718 722
Coulomb potential      35
Coulomb’s gauge      413
Coupling constant renormalization      196
Covariance of RG functions      218
Covariant curl      505
Covariant derivative      334 409 442 505
Covariant gauge      446
CP(N-l) model      881
Critical dimension: lower-      667 757
Critical dimension: upper-      583 610
Critical domain      573 564
critical exponent      550; see “Exponent”
Critical slowing down      764
Critical surface      568
Critical temperature      548
Crossing symmetry      147
Crossover exponent      600
Current non-conservation      480
Curvature tensor      409 443 507 733
Cyclic identity      509
Cylindrical geometry      789
Decay of the false vacuum      348
Decay rate      814
Deep inelastic scattering      760
Degenerate minima      854 873 907
Degenerate minima; general potential      919
Detailed balance      73 87
Determinant of operators      6 23 76
Differential forms      502
Differential forms, closed, exact      7
Dilatation current      298
Dilute gas approximation      911
Dimension of composite operators      175
Dimension of fields      168
Dimension of vertices      169
Dimensional regularization      183 307
Dimensional regularization: fermions      187
Dipolar forces: strong      617
Dirac $\gamma$-matrices      108
Dirac $\sigma$-function      4 13 103
Dirac fermion      104 108 153
Dirac operator      477
Discrete symmetries      285
Dissipative couplings      764
Dissipative Langevin equation      73
Divergence from operator ordering      4
Divergences: UV      164
Double-well potential      854 908
Dressed skeleton diagram      199
Drift, driving, force      73 764
Dynamic action      371
Dynamic correlation functions      372
Dynamic critical exponent z      768
Dynamic scaling      767777
Dyson — Schwinger equation      99
Eikonal      34
Einstein’s action      514
Electromagnetic decay of the $\pi_0$ meson      471
Electromagnetic hamiltonian      44
Electron-positron annihilation      760
Elitzur’s conjecture      309 678
Elitzur’s theorem      735 741
Energy momentum tensor      297
Epsilon expansion      574 597
Equation of motion      255
Equation of state      550 656 674
Equation of state: scaling      594
Equilibrium distribution      70
Ergodicity      529 538
Euchdean action      2092
Euchdean formulation      17
Euler — Poincare character      522
Evolution operator      1891
Exceptional momenta      213 215 259
Exponent $\alpha$      592
Exponent $\alpha$: $\alpha = 0$      606
Exponent $\beta$      550 594 654 675
Exponent $\Delta_1$      632
Exponent $\eta$      552 578 661 677
Exponent $\gamma$      550 591 663
Exponent $\nu$      551 580 663 675 677
Exponent $\omega$      577 663
Exponent $\sigma$      550 594
Exponent $\theta$      632 663
Exponents: classical values      551
Faddeev — Popov quantization      448
Faddeev — Popov “ghosts”      447
Fermi constant      462
Fermi model of low energy chargad weak interactions      462
Fermion loops      106
Fermion mass generation      682 715
Fermion propagator      105
fermions      56104
Fermions: proper vertices      131
Fermions; large order behaviour      875
Feynman diagrams      97 122 451
Feynman gauge      407 451
Feynman parameters      235
Feynman — Kac formula      17
Field renormalization      150 151 196
Field renormalization constant      152
Field RG function: positivity      241 249
Field theory: holomorphic representation      143
Fierz transformation      117
Finite size scaling      778
Finite size: hypercuhic geometry      783
First order phase transition      548
Fixed point hamiltonian      567
Flavour cjuantum number      466 758
Flory’s approximation      646
Fluctuation-dissipation theorem      766
Flux tube      741
Fock space      142
Fokker — Planck equation      70 78 370
Fokker — Planck hamiltonian      802
Fourier transform      126
Free energy      533547
Free field theory      94140
Functional differentiation      5 26 58
Functional integral      91
Functional integral: perturbative definition      98
Functional measure      25
Furry’s theorem      429
Gamma matrices: traces      115
Gammas matrix      108
Gauge coupling to leptons      461
Gauge coupling to quarks      463
Gauge dependence      423 440
Gauge field      409 442 512
Gauge field fermion vertex      470
Gauge independence      497
Gauge invariance      44 512
Gauge invariant action      444
Gauge invariant operators      425 497
Gauge section      445
Gauge symmetry      409
Gauge theories      404 441
Gauge transformations      442
Gauges      407
Gauges linear      496
Gauges: covariant      446
Gauges: general      492
Gaussian fixed point      571
Gaussian integral      1 3 4 12 22 45 58 94 104
Gaussian random walk      644
Gauss’s law      414 446
General relativity      513
Generating functional      93118
Geussian white noise      67
Ghost equation of motion      496
Ghost; quartic terms      495
Global symmetry      271
Gluonium      731
Gluons      466
Goldbergei — Treiman relation      289 292
Goldstone bosons      279
Goldstone fermions      391
Goldstone modes      302
Grassmann algebra      6 56 105 108
Grassmann algebra: differentiation      7
Grassmann algebra: gaussian integration      12
Grassmann algebra: integration      9
Grassmann coordinate      356
Gravity: classical equations      514
Gravity: quantization      516
Gribov’s ambiguity      369 449
Gross — Neveu model      189 682
Gross — Neveu model: chiral invariant      714
Gross — Neveu model: linearized      682
Hamilton — Jacobi equations      834
Hamiltonian formalism      444
harmonic oscillator      21
Heisenberg representation      29
Helium superfiuid transition      638
Hermitian conjugation      113
Hermitian hamiitonian      73
Hierarchy problem      389 465
Higgs mass: bound      753
Higgs mechanism, boson      452 460
Higgs mechanism: abelian      430
High temperature series      545
Higher spins: renormatizability      409
Holomorphic representation      51
Holomorphic representation: field theory      140
Holonomy group, variables      509
Homogeneous CS equation      2l3
Homogeneous RG equations      217
Homogeneous spaces      321 345
Hornotopy classes      862
Hubbard’s transformation      546
Hyperscaling relations      609
Improved action      617
Infinitesimal change of variables      101
Infrared      see “IR”
Instanton      478 825 841
Instanton interaction      927
Instanton solutions      812
Instantons and renormalization      845
Instantons: CP(N-l) model      861
Instantons: general scalar field theories      346
Instantons: SU(N) model      663
Integrable field theories: classical      836
Integrable hamiltonian systems: classical      834
Interaction representation      31 38
Interface model      see “Almost planar”
IR divergences      308
IR regulator      451
Irrelevant operator      570 613
Ising model      531
Ito calculus      83
Jacobi identity      494 508
Jacobian      5 10 819 828
Josephson’s parametrization      627
Kallen — Lehmann representation      39 150
Kobayashi — Maskawa matrix      464
Kosterlitz — Thouless phase transition      715 718
Landau — Ginzburg — Wilson hamiltonian      572
Landau's gauge      407 451
Landau’s ghost      900
Landau’s theory of phase transitions      553
Langevin equation      67 370 764 865
Langevin equation: discretized      80
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