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Brown L.S. — Quantum Field Theory
Brown L.S. — Quantum Field Theory



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Название: Quantum Field Theory

Автор: Brown L.S.

Аннотация:

Quantum field theory is the basic theory of elementary particle physics. In recent years, many techniques have been developed that extend and clarify this theory. This book develops quantum field theory starting from its foundation in quantum mechanics and incorporates the most modern methods, giving a thoroughly modern pedagogic account that starts from first principles. The path integral formulation is introduced right at the beginning. The method of dimensional continuation is employed to regulate and renormalize the theory. This facilitates the introduction of the concepts of the renormalization group at an early stage. The notion of spontaneous symmetry breakdown is also introduced early on by the example of superfluid helium. Topics in quantum electrodynamics are described that have an analog in quantum chromodynamics. Some novel techniques are employed, such as the use of dimensional continuation to compute the Lamb shift. This book is appropriate as a graduate level text in theoretical physics and particle physics, and is complete with exercises for practice.


Язык: en

Рубрика: Физика/Квантовая теория поля/Учебники/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1994

Количество страниц: 542

Добавлена в каталог: 02.08.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$\hbar$ counts loops      316
Alpha matrices      364
Annihilation operator      63
Anomalous dimension      253
Antenna pattern      490 498
Anticommutator      63
Antiparticle states      382 385
Asymptotic behavior and the renormalization group      248
asymptotic freedom      254 279
Atomic level width      519
axial anomaly      531
Bad practice      140
Bare charge dimension      452
Bare coupling      167
Bare field      215
Bare source      215
beta function      241
Beta function behavior in perturbation theory      249
Beta function for electric charge      453
Beta function for scalar field      168
Beta function in asymptotically free theories      254
Beta function with a fixed point      250
Bethe logarithm      518
Bosons      60
Breit frame      403
Breit — Wigner distribution      307
Brick-wall frame      403
Canonical commutation relation      3
Carroll, Lewis      275
Casimir effect      186 see
Causality      286
Charge operator of Dirac field      385
Charge renormalization      453
Charge-conjugation invaxiance      406
chemical potential      87
Chiral symmetry      344
Chirality      387
Classical limit      18
Clifford algebra      394
Cluster decomposition      311
Coherent Fermi state      81
Coherent state functional integrals      40
Coherent states      35
Coherent states and classical limit      56
Collinear divergence      497
Combinatorial factor      226
Commutator      63
Complex energy shift      518
Composite operators      256
Compton scattering scalar analog      190
Connected graph functional      309
Connected graphs      206
Connectivity      308
Contraction rule      137
Convex functional      321
Cosmological constant      192 195 202
Cosmological constant renormalized      198 244
Cosmological constant renormalized in order $\lambda$      204
Coulomb self interaction      423
Coulomb’s law and physical electron charge      455
Counter term      198
Counter terms      234
Coupling constant at physical point      170
Coupling constant renormalized      167
Covariant gauges      426
Creation operator      61
Cross section      150
Crossing symmetry      407
Current correlation function      450
Current correlation functions      449
Current correlation structure      461
Decay rate      188 218
Decoupling theorem      280
Degree of divergence      231
Denominator exponentiation      165
Determinant variational definition      33 53
Determinants      32 53
Differential cross section      155
Dimensional analysis and degree of divergence      232
Dimensional regularization      164
Dimensional transmutation      254 255
dimensions      146
Dirac equation for Majorana fields      366
Dirac field      373
Dirac field stress-energy tensor      399
Dirac Lagrange function      377 421
Dirac spinors      380
Disconnected graph      205
Disconnected vacuum graphs      203
dispersion relation      170 455
Distance-dependent coupling      273
Divergence condition      349
Divergence structure      228
Divergent subgraphs      233
Divided emotions      507
Dotted index      390
Double-well effective potential      325
Effective action      101 309 432
Effective action to one loop      318
Effective potential      104 334 342
Effective potential convexity      336
Effective potential to one loop      337
Einstein, Albert      339
Electron form factors      484
Electron Green’s function      434
Electron magnetic moment      484
Electron mass renormalization      469
Electron mass, physical      470
Electron propagator gauge dependence      521
Electron propagator infrared behavior      521
Electron self energy      468
Electron states      472
Electron wave function renormalization      470 476
Electron wave function renormalization and infrared divergence      471
Electron-positron annihilation at high energies      437
Electron-positron annihilation into muon pairs      439
Electron-proton scattering      400 408 521
Energy operator      67
Energy-weighted cross section      499
Ensemble average      87
entropy      88
Equation of motion operator      262
Equivalent representations      356
Euclidean functional integral      194
Euclidean Green’s function      194
Euclidean space-time      165 193
Exponential decay      301
External algebra      76
External force      13
external sources      100
fermions      60 73
Feynman gauge      468
Feynman graph      162 196
Feynman rules in Euclidean space      222
Field strength tensor      421
Fielding, Henry      174
Final state Coulomb corrections      494
Fine structure constant      442 455 457
First order Lagrange function      130
Form factors for spin $\frac{1}{2}$ particle      400
Fredholm determinant      34
Free scalar field      129
Fried — Yennie gauge      477
Functional      13
Functional derivative      13
Functional integral      6
Functional integral for Bosons      70
Functional integral for Fermions      85
g-factor of spin $\frac{1}{2}$ particle      406
Galilean invariance      94 118
Gamma matrices      365
Gamma matrices in Dirac representation      372
Gamma matrices in Majorana representation      368
Gamma matrices in n=2m dimensions      394
Gamma matrices in Weyl representation      367
Gauge dependence of electron propagator      475
Gauge invariance      421
Gauge orbit      428
Gauge-covariant derivative      421
Gauge-fixed Lagrange function      429
Gauge-fixing constraint      428
Gauge-fixing parameter      429 452 476
Gaussian Grassmann integrals      82
Gaussian integrals and determinants      32
Generating functional      16
Global invariance      421
Global phase rotation      100
Global symmetry      348
Gluon radiation      489
Goldstone theorem      350
Grand canonical partition function      86
Grand potential      88
Graphical structure      308
Grassmann integration      79
Grassmann numbers      75
Green’s function      22
Green’s function for scalar field      135
Green’s functions and time-ordered correlations      24
Ground state transformation function      29
Hamiltonian equations of motion      5
harmonic oscillator      21 57
Heisenberg picture      2
Helicity eigenvalues      380
Helicity operator      392
Helicity states      380
Helicity states of photons      425
High-energy behavior, asymptotically free theories      256
Hoelder inequality      321
Holmes, Sherlock      217
Hypersphere      500
Identical particles      59
Imaginary time      90
Improper Lorentz transformation      175
Improper vertex      436
Infinitesimal Lorentz transformations      178
Infrared divergence      467 472 481
Infrared divergence cancellation      490
Infrared problem      525
Insertion of field      258
Integrating out Fermions      446
Integrating out the vector potential      445
Interaction picture      17
Irrational vacuum charge      415
Isospin symmetry      342
James      118
Jet angular distribution      443
Jets of hadrons      438
Kinematical singularities      407
Kink topology      415
Klein — Gordon equation      130
Lagrangian in first order form      11
Lagrangian in second order form      12
Lamb shift      508
Lamb shift and dimensional continuation      511
Lamb shift energy      519
Landau gauge      477
Leading log sum      170
Left derivative      79 432
Legendre transform      103 327 433
Lehmann representation      285
Light-by-light scattering      448
Local invaxiance      421
Local symmetry      348
Loop number      231
Lorentz group representations      354
Lorentz transformation      175
Lorentzian distribution      307
Magnetic moment of spin $\frac{1}{2}$ particle      406
Majorana fields      362 447
Majorana Lagrange function      371
Majorana spinors      383
Majorana — Dirac matrices in n-dimensional space-time      396
Mass renormalization      234 242
Mass renormalization of scalar field      199
Mass renormalization to order $\lambda^2$      211
Mass singularities      498
Mass, physical      202
Maxwell equations      176
Maxwell Lagrange function      422
Maxwell-Dirac coupled thoery      430
Minimal subtraction      167 240
Mode functions      47 92
Momentum operator      66
Muon pair production      437
Neutral pion decay and axial anomaly      533
Newton, Isaac      53
No-particle state      61
Non-relativistic limit of Dirac equation      372
Non-renormalizable theories      237
Number operator      66
Operator mixing      260 264
Operator product expansion      269
Outgoing momentum convention      221
Parameter renormalization, structure of      239
Parity      401
Partition function as functional integral      88
Partition function for free gas      95
Path integration      45
Pauli spin matrices      181 355
Pauli — Lubanski operator      180 392
Pauli — Villars regularization      275
Pauli — Villars regularization and triangle anomaly      532
Phase space of two particles      178
Photon Green’s function      433
Photon polarization state      425
Photon polarization vector      425
Photon propagator      430
Photon propagator corrections      449
Photon self-energy      448 449
Photon states      425 465
Photon wave function renormalization      466
Photon-electron vertex      434 478
Photon-electron vertex with massless electrons      487
Photon-electron vertex, infrared part      485
Pion decay constant $F_\pi$      346
Pion-pion scattering amplitude      347
Pions      342
Planar graph      228
Poincare transformation      175
Positive frequency boundary condition on Green’s functions      139
Power counting      228 230
Pressure      88
Propagator for scalar field      134
Proper vertex      437
Quark fragmentation      438 498
Radiation gauge      422
Radiation-gauge propagator      424
Ray representation      121
Real representations      356
Reduction formula      291
Reduction formulae for spin $\frac{1}{2}$ particles      388
Renormalizable      145
Renormalization      163
Renormalization counter terms      234
Renormalization group      168 247
Renormalization group and composite operators      261
Renormalization group and cosmological constant      199
Renormalization group and effective action      332
Renormalization group and operator products      273
Renormalization group properties      280
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