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Bogoliubov N.N., Shirkov D.V. — Introduction to the Theory of Quantized Fields
Bogoliubov N.N., Shirkov D.V. — Introduction to the Theory of Quantized Fields



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Название: Introduction to the Theory of Quantized Fields

Авторы: Bogoliubov N.N., Shirkov D.V.

Аннотация:

In this edition we have rewritten the chapters that discuss the methods of continuous integration and the renormalization group, which are two topics in theory that have become extremely important in recent years. We have also reworked and supplemented the sections on the complete Green functions.

This work was done in an atmosphere of friendly advice and fruitful discussions with our colleagues from the Steklov Mathematical Institute of the USSR Academy of Sciences and of the Laboratory of Theoretical Physics of the Joint Institute of Nuclear Studies, to whom we are extremely grateful.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Third edition

Год издания: 1980

Количество страниц: 620

Добавлена в каталог: 18.04.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abrikosov, A. A.      516 519n
Adler sum rule      595
Adler, S.      595
Advanced commutator      572
Akhiyezer, A. I.      608
Algebra, iso spin      377
Amplitude, normalization      244
Amplitude, state      85 (see also State amplitude)
Amplitude, transformation properties of      87
Anderson, J. L.      452n
Angular-momentum tensor      417
Anikin, S. A.      304
Arbitrary gauge, functional integral in      466
Arguments of functionals, classical fields as      195
Baker, M.      517
Baranger, M.      448
Basic quantities, form of      122
Behrends, R. E.      79
Belokurov, V. V.      526
Berestetskiy, V. B.      608
Berezin, F. A.      385 459n
Bethe, N. A.      448 448n
Bilen’kiy, S. M.      594
Bjorken, S.      608
Blank, V. Z.      521
Bleuler, K.      118
Bloch — Nordsieck model      478 479 481 484
Bloch, F.      364 478
Blokhintsev, D. I.      489
Bogolyubov, N. N.      102 137 288 304 324 384 417n 451 486 532 535 585 586 593
Bohr magnetron      437
Bose fields      3 4 452 464 465
Bose integrals, functional      464
Bose operator arguments      539
Bose — Einstein rules      452
Bremerman, H.      586
Brown, L. M.      368
Callan, C.      508
Canonical formalism      8 (see also Hamiltonian formalism)
Canonical formalism, quantization      113 116
Causality, condition of      192 197
Causality, formulation of      193 195
Charge conjugation      127
Charge conjugation in quantized case      131
Charge conjugation, transformation of      128
Chew, G.      594
Chronological products, evaluation of      213
Chronological products, Wick’s theorem for      218
Collins, P.      595
Commutation functions      123
Commutation functions, relations      95
Commutation functions, relations, Bose — Einstein      96
Commutation functions, relations, Fermi — Dirac      98
Commutation functions, relations, in discrete momentum representation      104
Commutation functions, relations, types of      95
Commutator, advanced      572
Commutator, retarded      572
Compton scattering      248 249 253 265 342 368 593
Coupling constant, infinite renormalization of      514
CPT theorem      2 131 136
Dashen, R.      595
Decay, two-particle      251
Diagrams, divergent      329
Diagrams, index of      294
Diagrams, skeleton      356
Dirac, P. A.      48
Divergences, general method for removing      289
Drell, S.      608
Duffin — Kemmer formalism      43 44
Duffin, R. J.      42
dynamic variables      124
Dynamic variables, local      421
Dyson equations      391 400 402
Dyson transformation      351 404 486 487 489 495 515 520
Dyson, F.      189 197 351 400 415 486 565
Edwards, S. F.      197 451n
Electron wave function, generalization of      439
Electron, anomalous magnetic moment of      433
Electron-positron pair, annihilation of      257
Elementary particles, theory of      541
External fields, scattering by      239
External lines, relative corrections to      357
Faddeev, L. D.      187 466
Faustov, R. N.      449
Fermi fields      3 4 452
Fermi fields, functional integral over      459 462
Fermi operator arguments      539
Feynman cutoff factor      272
Feynman cutoff factor, diagrams      222—230 232 234 238 239 241 329 330 348 535 543
Feynman cutoff factor, diagrams, skeleton      356
Feynman cutoff factor, gauge      347 466
Feynman cutoff factor, integrals      478 610
Feynman cutoff factor, integrals, evaluation of      2
Feynman, R. P.      1 206 272 331 368 448 451
Field functions, operator nature of      85
Field functions, transformation properties of      11
Fock representation      93 95
Fock, V. A.      48 479
Ford, G. W.      438
Fradkin, Ye.S.      451n 516
Free fields, theory of      422
Froissart, M.      3 594
Functional equations, derivation of      491
Functional equations, structure of      494
Functional integrals      455—459
Functional integrals, applications of      466
Functional integrals, basic quantities expressed in      462
Functionals, sources and generating      383
Furry, W.      331
Gauge invariance      275 276 281 282
Gauge transformation      15 46 77 78
Gell — Mann — Low equation      506 513
Gell — Mann, M.      486 535
Gel’fand, I. M.      451n
Ginzburg, I. F.      486 528 532
Goldberger — Treiman relation      595
Goldberger, M.      535 594
Granger, S.      438
Grassman algebra      385 393 428 459 460
Grawert, G.      136 137
Green, J.      189
Greenberg, O.      594
Green’s functions      1 139—152 195 266 350 485—487 544—546 551 555 558 563
Green’s functions, advanced      139
Green’s functions, asymptotic      512
Green’s functions, asymptotic, properties of      485
Green’s functions, causal      141 214 604 605
Green’s functions, causal, for different fields      143
Green’s functions, complete      352—354 358 381 430 431 435
Green’s functions, electrodynamic      486
Green’s functions, electron      364
Green’s functions, fermion      558
Green’s functions, for scalar field      140
Green’s functions, free-field      383
Green’s functions, gauge transformation of      476
Green’s functions, higher      380 381 383 515
Green’s functions, higher, generating functional for      386
Green’s functions, in spinor electrodynamics      515
Green’s functions, perturbation-theory terms for      486
Green’s functions, properties of      147
Green’s functions, renormalization structure of      2
Green’s functions, representation of      451
Green’s functions, retarded      139—142 144
Green’s functions, Schwinger’s equations for      195
Green’s functions, single-particle      381 383 526
Green’s functions, strongly connected      383
Green’s functions, structure of      485
Green’s functions, three-end      388 390
Green’s functions, two-end      388
Group equations, analysis of      494
Gupta, S.      118
Hamiltonian formalism      8 31 113
Hamiltonian, fundamental properties of      415
Hamiltonian, fundamental properties of, singularities of generalized      411
Heisenberg uncertainty relationships      415
Heisenberg, W.      1 299 539 596
Heitler, W.      260 263
Hepp, K.      304
Hove, L. van      594
Igi, L.      595n
Infinities, process of removal of      347n
Infrared catastrophe      358 364 368 435 482 484n
Infrared singularities, structure of      21n
Interacting fields, quantum theory of      544n
Interaction representation      187 188n
Interaction representation, Schroedinger equation in      407 409n
Interactions, meson-nucleon      377n
Interactions, meson-nucleon, models of strong      369n
Intersecting fields, dynamic variables of      417n
Invariant charge, asymptotic behavior of      508
Ioffe, B. L.      197
Jensen, K.      517
Jin, Y.      591
Jost — Lehman representation      570—573
Jost — Lehmann — Dyson representation      564 586
Jost, R.      137 565 570
K$\ddot{a}$ll$\acute{e}$n — Lehmann spectral representation      362 545 563
K$\ddot{a}$ll$\acute{e}$n, S.      299 362 545 558
Kanazawa, A.      594
Karplus, R.      448n
Kemmer, N. N.      42
Khalatinokov, I. M.      451n 516 519n
Khrustalev, O. A.      591 594 595
Kirchhoff integral, generalization of      567
Klein — Nishina formula      368 369
Klein — Nishina formula, evaluation of correction to      367
Klein — Nishina — Tomm formula      257
Klein, A.      448n
Konopleva, N. P.      459n
Kramers — Kronig formula      537n 538
Kramers, H.      537
Kronig, R.      537
L$\ddot{u}$ders, G.      136 137
Lagrangian formalism      1 7—9 36 47 69
Lamb shift      2 446—449
Landau gauge      347
Landau, L. D.      516—518 519n
Langenberg, D      439
Lehmann, H.      362 545 558 565 570 586
Levine, M.      438
Lie equations      489 498—501 506—508 511 523 525
Lindel$\ddot{o}$f theorem      594
Logunov, A. A.      3 102 137 324 532 591 594 595
Lorentz condition      426
Lorentz group      9 52 65 90 93
Lorentz group, inhomogeneous      88
Lorentz group, tensor representations of      62
Lorentz transformation      415 419 425
Low, F. E.      486 594
Maier, M.      486 494
Mandelstam, S.      3 536
Marshak, R.      595
Martin, A.      591 594
Matrix elements, evaluation of      232
Matrix elements, general structure of      240
Matsuda, S.      595
Medvedev, B. V.      349 585 593 595
Meiman, N. N.      594
Meshcheryakov, V. A.      593
Millikan experiment      589
Minkowski tensor      3
Minlos, R. A.      451n
Momentum representation      26 489
Momentum representation, coefficient functions in      314
Momentum representation, discrete      30
Momentum representation, discrete, commutation relations in      104
Momentum representation, transition to      38 230n
Nambu, Y.      594n
Neutrino fields      73—75n
Neutrino fields, free      136n
Neutrino fields, quantized      126n
Nguyen Van Hieu      591 594n
Nishijima, K.      596n
Noether’s theorem      1 15 16 35 81 417n
Noninteracting fields, theory of      417 544n
Nordsieck, A.      364 478n
Normal products, Wick’s theorem for      156
Oehme, R.      586 594
Ogiyevetskiy, V. I.      46
Okubo, S.      595
Operator expressions, coefficient functions of      154
Operator functions, multiplication of      173 180
Operators, local      164
Operators, local, chronological product of      204
Operators, polylocal      163 219 278
Operators, quasilocal      164 278
Optical theorem      544
Ovsyannikov equations      498—500 502 505 507 508
Ovsyannikov method      507
Ovsyannikov — Callan — Symanzik equations      508
Ovsyannikov, L. V.      498 500
Parasyuk, O. S.      304
Parker, W.      439
Pauli — Jordan commutation function      603
Pauli — Jordan photon function      427 567
Pauli — Villars regularization      153 170 289 336 337 340 345 478 482
Pauli, W.      36 42 77 137 153 189
Pavlov, V. P.      213 595
Peierls, R. E.      451n
Peterman, A.      449 486
Phase transformations      77 78
Photon function, correction to      361
Podolsky, B.      48
Poincar$\acute{e}$ group      9
Poincar$\acute{e}$ transformations      417
Polivanov, M. K.      304 349 585 593 595
Polubarinov, I. V.      46
Pomeranchuk theorem      594
Pomeranchuk, I. Ya      3 516 518 594
Popov, V. N.      459n 466
Quadratic form, structure of exponential      298
Quantum field theory, functional integrals in      451
Radiation operators      542—547
Radiation operators, Fermi      558
Redmond, P. J.      324 532
Reduction formulas      396 398
Renormalization group      357
Renormalizations, charge      345
Renormalizations, finite      486 510
Renormalizations, infinite      510
Renormalizations, mass      345
Renormalizations, multiplicative      379 485—488
Renormalizations, multiplicative, group character of      486
Renormalizations, multiplicative, transformations of      515
Rich, A.      438
Rivier, D.      141 189
Rollnik, G.      136 137
Roy, S.      594
Salam, A.      189
Scalar field      24 107
Scalar field, complex      31 107
Scalar field, functions      603
Scalar field, Lagrangian formalism for      25 107
Scattering amplitude, pion-nucleon      600
Scattering matrix      189
Scattering matrix, coefficients of      220
Scattering matrix, divergences of      279
Scattering matrix, expansion of      196
Scattering matrix, gauge invariance of      334 470
Scattering matrix, general properties of      538
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