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Roman P. — Introduction to quantum field theory
Roman P. — Introduction to quantum field theory



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Название: Introduction to quantum field theory

Автор: Roman P.

Аннотация:

The book provides material for a one-year course (three or four lecture hours a week) in quantum field theory. However, the text is split in a natural way into two parts. Part 1 deals with Lagrangian (canonical) field theory, including Feynman graph techniques and perturbation theory. Part 2 is concerned with more advanced and more modem topics, such as the various "axiomatic" approaches to the theory, general properties of collision amplitudes, and the fundamentals of dynamical calculations in hadron physics. Thus, Part 1 (which is complete in itself) can be used in an introductory course, and Part 2 in an advanced course (or special seminar), each course requiring one semester. (Particular chapters of Part 2 can also provide material for short seminars.) Part 2 refers only occasionally to Part 1 so that anyone familiar with elementary quantum field theory could use it independently of Part 1. Both parts are suitable for self-study.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Количество страниц: 634

Добавлена в каталог: 08.12.2005

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Предметный указатель
$\beta$-Decay      558
$\mathscr{C}$-conjugation      403 407;
Absorptive part      429 439
Action integral      19
Adiabatic switching      46
Adler — Weisberger formula      605
Analyticity      444 454
Annihilation operator      83
Anticommutation relations      66
Asymptotic boundary condition      315
Asymptotic completeness      306 367
Automorphism      579
Axial isospin      596
Bare field      131 145 204 293 329
Bare mass      482
Bare states      133 139 147
Bethe-Salpeter equation      269
Bose symmetry      420
Bound-state problem      276
Branch points      440 494
Broken symmetry      224 305
c-Number source model      120
Canonical conjugate      64
Canonical formalism      27
Canonical transformation      61 130
Casimir operator      56 78
Casual propagator      211
Channel      625
Charge      75 396
Charge conjugation      100 see
Charge conservation      73
Charge distribution      506
Charge quantization      82
Charged scalar meson field      97
Chiral algebra      594 613
Classical field theory      15
Clementel — Villi formula      540
Collision diagram      625
Commutation relation      65 95 163
Commutation rules      144
Commutator function      470
Complex fields      21
Complex Lorentz group      377
composite states      494
Conservation laws      61 67
Conserved vector current hypothesis (CVC)      560 597 602
Conserved vector currents      540
Constant of motion      61
Counterterms      186 188
Coupling constant      259 435 540
Covariance      317 366
Creation operator      82
Crossed channel      464
Crossed process      424
Crossing      454
Crossing relations      413
Crossing symmetry      418 419 424
Current algebras      575
Current density      74 401
Currents      585 594
Cyclicity, of vacuum      367
Decay processes      342
Dirac algebra      615
Dirac equation      18 37 615
Dirac field      18 52 109
Dirac — Tomonaga — Schwinger picture      159; see also Interaction picture
Discontinuity      441
Discrete symmetries      403
Dispersion relations      449 455 462 468 507
Dynamical calculations      454
Dynamical development      59
Dyson equation      207 246 250;
Dyson ordering      164
Effective radius      506
Elastic unitarity      465 534
Electric charge      540
Electromagnetic coupling constant      541
electromagnetic field      17 23 40
Energy density      69
Energy-momentum tensor      68 118
Energy-momentum vector      69 118
Equal-time commutation relations (ETCR)      328 575
Equation of motion      70 161 304
Equivalent graphs      171
Euler — Lagrange equation      20
Excited states      249
external sources      213 218 229
Fermi — Yang model      613
Feynman graph techniques      168
Field energy      69 120
Field equations      16 64
Field momentum      120
Field operators      59
Fock base      87
Forces      443
Form factor      243 435 497 503 507 602
Forward elastic. scattering      445
Forward tube      373
Four-point function      269
Fourier decomposition      48
Free fields      79 87
Functional      9
Functional derivatives      10 220
Furry's theorem      177 209 284
Goldberger — Treiman relation      552 566 574
Green's functions      27 212
Haag's theorem      388
Hall — Wightman theorem      374
Hamiltonian      69 122
Helicity      78 617
Incoming field      45 121
Incoming field operators      308
Incoming states      121 306
Inequivalent graphs      182
Inequivalent representations      128 157 393
Infinite momentum limit      588 610
Infinitesimal operators      12
Initial value problem      42
Interacting fields      21 117
Interaction      24
interaction energy      123 138 153
Interaction picture      159 391
Interpolating field      316
Invariance      61
Invariant amplitude      459
Irredicible set, of operators      326
Irreducibility      367
Irreducible graph      206
Isospin current      595
Johnson — Federbush theorem      381
Jost points      378
Jost-Schroer theorem      390
Klein — Gordon equation      17
Ladder approximation      274
Lagrangian      118 291
Lagrangian density      19
Lagrangian field theory      289
Leakage      583
Levi-Civita symbol      13
Lie algebra      12 580
Local commutativity      326 366 376 380
Local field equations      16
Locality      326
Lorentz condition      18
Lorentz group      6
LSZ formalism      301 396
Macrocausality      16
Mandelstam diagram      416
Mandelstam variables      13 621
Mass operator      236 238
Mass shift      137 149 188 192 235 217 251 295
Mass spectrum      294
Maxwell — Lorentz equations      17
Metric tensor      5
Microcausality      325
Minkowski space      5
Momentum      11
Momentum density      69
n-point functions      243
Neutral scalar meson field      87
Normal product      92
Normal thresholds      440
Nucleon-nucleon scattering      182
Nucleon-pion scattering      150 183 454
Omnes equation      531 573
One-particle contribution      537
One-particle intermediate state      430
One-particle term      583
Orbital angular momentum      72
Ouster decomposition      370
Outgoing field      45 125 313
Outgoing states      125 306
Pairing, of operators      166 214
Partial conservation      573
Partially conserved axial vector current      see PCAC
Particle concept      79
Particle number operator      84
Particle number representation      84
Particle-antiparticle conjugation      114; see also $\mathcal{C}$-conjugation
Pauli — Lubanski vector      56 78
PCAC      552 563 579 610
Perturbation theory      141
Phase shifts      5 3 3
Phase transformation      73
Physical fields      293
Physical mass      149 248 251
Physical region      623
Physical states      123
Pion decay      562
Pion-Pion scattering      185
Poincare group      6 16 56 302
Poincare transformation      6
Polarization operator      235
Polarization vectors      54
Pole approximation      539
Pole dominance      538
Pole terms      438
Poles      494
Polynomial terms      525
Proca equation      17
Propagator methods      211
Propagators      97 154 212 216 218 228 245 262 470 483
Quantization      64
r-Functions      349
R-products      348
Radiation      41
Radiative corrections      184
Rcpresentations of Lorentz group      12
Reconstruction theorem      371
Reduction formulas      334 398 406
Relativistic quantum theory      301
Renormalization      155 184 199 252
Renormalization constants      135 148 253 475 477 612
Renormalization theory      470
Renormalizcd states      135
Renormalized coupling constant      151 152 259 527 541—542
Renormalized field      136 148 204 296
Renormalized field operator      254 255
Renormalized mass      136 149 480
Renormalized propagator      253 255
Renormalized source      481
Renormalized vertex function      256
Representation of Poincare group      77
Resonances      494 538
Retarded commutator      116 346
S-matrix      126 165 169 266 331 350
Saturation      583
Scalar field      17 48
Scattering      44 265
Scattering amplitudes      413
Schwinger $\Delta$-function      31
Schwinger terms      590
Schwinger — Dyson equation      237 238;
Schwinger's action principle      60
Schwinger's functional equations      218
Self-energy      123 147 154 205 249
Self-energy operator      235 237
Self-energy part      190 194
Singular functions      27
Singularities      459
Source      21
Source function      324
Source operator      351
Spacelike surface      8
Spectral conditions      302
Spectral function      472
Spectral representations      469 496
Spin      73 78 106 111 396
Spin-statistics theorem      66 379
Stability of one-particle states      324
Stability of vacuum      315
Static source distribution      503
Stress-density      69
Substitution law      268 413
Subtracted dispersion relations      488 526
Sum rules      475 482 496 580 612
Symmetry      16 577
T-Functions      344 360
T-matrix      425
Tadpole graphs      284
Tempered distributions      365
Three-point functions      241
Time-ordered product (T-product)      96
Tomonaga — Schwinger equation      160
TPC-theorem      382
Translation group      6
Translation operator      70
Two-body potential      282
Two-point functions      116 266 469
Unitarity      425 454
Unitarity diagrams      427
Unitarity relation      463
Universality      542 560 602
Unphysical sheet      489
VACUUM      79 304
Vacuum energy      94
Vacuum expectation values, (V.E.V.)      96 211 223
Vacuum graphs      217
Vacuum polarization      194
Vector field      17 22 39 52 103
Vertex corrections      195
Vertex functions      218 231 239
Virtual particles      173
Von Neumann's theorem      330
Ward — Takahashi identity      540
Wave packets      312 320
Weak currents      555 594
Weak interactions      553
Weak locality      384
Wick algebra      166 167 214
Wightman formalism      363
Wightman functions      96 367 373
Yang — Feldman relation      352
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