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Weinberg S. The Quantum Theory of Fields. Vol. 1 Foundations
Weinberg S.  The Quantum Theory of Fields. Vol. 1 Foundations









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: The Quantum Theory of Fields. Vol. 1 Foundations

: Weinberg S.

:

In The Quantum Theory of Fields, Nobel Laureate Steven Weinberg combines his exceptional physical insight with his gift for clear exposition to provide a self-contained, comprehensive, and up-to-date introduction to quantum field theory.
This is a two-volume work. Volume I introduces the foundations of quantum field theory. The development is fresh and logical throughout, with each step carefully motivated by what has gone before, and emphasizing the reasons why such a theory should describe nature. After a brief historical outline, the book begins anew with the principles about which we are most certain, relativity and quantum mechanics, and the properties of particles that follow from these principles. Quantum field theory emerges from this as a natural consequence.
The author presents the classic calculations of quantum electrodynamics in a thoroughly modern way, showing the use of path integrals and dimensional regularization. His account of renormalization theory reflects the changes in our view of quantum field theory since the advent of effective field theories.
The book's scope extends beyond quantum electrodynamics to elementary particle physics, and nuclear physics. It contains much original material, and is peppered with examples and insights drawn from the author's experience as a leader of elementary particle research. Problems are included at the end of each chapter.
This work will be an invaluable reference for all physicists and mathematicians who use quantum field theory, and it is also appropriate as a textbook for graduate students in this area


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$Co^{60}$ decay      127 1301
$N^{14}$ molecular spectrum      29
$W^{\pm}$ particles      207
$Z^{0}$ particle      15960 207
$Z_{2}$ group      88
$\Delta$ baryon      165
$\Delta_{+}$ function      202
$\Delta_{F}$ function      276
$\mathcal{J}/\varphi$ meson      225
$\omega$ meson      227
$\rho$-mesons      165 225 227 469
$\tau-\theta$ problem      127
Aaron, R.      470
Abelian groups, defined      55
Absorption of photons      18
Accidental symmetries      52931
action      299 307
Aharony, A.      168
Aitken, A. C.      106
Alpha decay      160
Amado, R. D.      470
Anderson, C. D.      12 30 43 45
Annihilation and creation operators      16 1920 234 268 169 173
Anomalous Zeeman effect      5
Antiparticles      1314 238 104 14950 199 567
Antiunitary and antilinear operators, defined      51
Anyons      420
Aramaki, S.      39
Argyres, P. C.      257
Artin, E.      424
Auxiliary fields      3023 314
Axial gauge      346
Bagger, J.      338 532
Bailey, J.      498
Bakamijian, B.      189
Bargmann, V.      106
Baryon number, defined      122
Belinfante tensor      316
Belinfante, F. J.      44 316 338
Berezin integration, defined      403
Berezin, F. A.      403 404 424
Bergmann, P. G.      335
Beta decay      23 29 127 146 228 519
Bethe Salpeter equation      560
Bethe, H.      29 33 36 45 47 560 563 593 596
Beyer, R. T.      39 43
Bhabha (electronpositron) scattering      29
Bhabha, H. J.      29 45
Bjorken, J. D.      532
Blackett, P. M.      13
Bloch, F.      33 46 562
Bogoliubov, N. N.      512 532
Bohr, N.      3 11 19 32 42 44 168 198 256
Boltzmann H-theorem      151
Boosts, defined      61
Born approximation      115 156
Born, M.      3 15 16 17 18 19 23 25 40 42 43 46 115 166 292
Bose Einstein statistics      11
Bound states      (see Composite particles)
BPHZ prescription      51213
Braid group      420
Breit Wigner formula      1623
Breit, G.      36 48 162 167 168
Bremstrahlung      29
Broken symmetry      443 451
Brown, G. E.      596
Brown, L.      39 40 45 46 167 532
Burgoyne, N.      257
Butler, C. C.      30 45 123 167
Canonical commutation and anticommutation relations      16 1922 2938 529
Canonical transformations      329
Cao, T. Y.      39
Carlson, J. F.      29 30 32 45
Cartan, E.      256
Casimir effect      297
Casimir, H. B. G.      338
Cassen, B.      167
Causality      145 198 463
Center-of-mass frame      139
Central charges      83
Chadwick, J.      45
Charge      (see Electric charge)
Charge conjugation (C) for photons      4278 (also see Specific particle types)
Charge conjugation (C), accidental symmetry      521 5301
Charge conjugation (C), defined      121 1312
Charge conjugation (C), intrinsic charge conjugation phases      131 (also see Specific particle types)
Charge conjugation (C), non-conservation      132 (also see Specific particle types)
Charge conjugation (C), transformation of creation operators      177 (also see Specific particle types)
Charge conjugation (C), transformation of Dirac fields      2267 (also see Specific particle types)
Charge conjugation (C), transformation of fermion bilinears      229 (also see Specific particle types)
Charge conjugation (C), transformation of general irreducible fields      2412 (also see Specific particle types)
Charge conjugation (C), transformation of scalar fields      206 (also see Specific particle types)
Charge conjugation (C), transformation of vector fields      213 (also see Specific particle types)
Chew, G.      47 471
Chew-Frautschi plot      469 471
Chinowsky, W.      167
Chiral transformation      520
Christenson, J, H.      106 167
circular polarization      359
ClebschGordan coefficients      124 152 154 156 2334 242 569
Clifford aigebra      214
Closed p-forms, defined      369
Cluster decomposition principle      169 17789 197 259
Cohen, R. S.      44 256
Coherent states      189
Collins, R. D. B.      471 532
COLOR      549
Compact and non-compact groups      231
Composite particles      110 4612
Compton (electron-photon) scattering      29 3629
Compton, A. H.      41 362 364 504
Condon, E. U.      167
Connected amplitudes      17882 270 282 286 389 413
Conservation laws for angular momentum      118 (also see Specific symmetries and conserved quantities)
Conservation laws for charge      119 199 427
Conservation laws for current      212 307 478 586
Conservation laws for energy and momentum      11718 4257
Conservation laws limitations      253 5378
Constraints      32531
Constraints in electrodynamics      344 3467
Conversi, M.      30 45
Cosmic rays      29 123
Coulomb energy      350 353 3556 560
Coulomb gauge      251 34650 365
Counterterms in quantum electrodynamics      4723
CP-invariance for degenerate multiplets      104
CP-invariance, non-conservation in $K^{0}-\tilde{K}^{0}$ decay      1323
CPT-invariance      104 133 2446 459
Creation operators      (see Annihilation and creation operators)
Crichton, J. R.      189
Cronin, J, W.      106 132 167
Cross sections, defined      1379
Cross sections, high energy limit      1589
Cross sections, partial wave expansions      1556
Crossing symmetry      269 467 554
Cumulants      178
Curie-Joliot, I.      45
Dalitz Plot      141
Dalitz, R, H.      141 168 563
Dancoff, S. M.      33 34 46
Dangerous states      5502
Darwin, C. G.      10 41 42 596
Davisson, C. J.      3 40
de Broglie, L.      3 40
de Kronig, R.      469 471
De Rham cohomology      370
De Witt, C. M.      377 418 424.
Deans, W, M.      41
Decay rates, general formula      1367
Dedijer, S.      257
Density matrix      360
Deser, S.      563
Desiderio, A. M.      596
DeWitt, B. S.      39 424
Differential forms      (see p-forms)
Diffraction scattering      1489 158
Dimensional regularization      449 47780 497
Dimensionality, of fields and couplings      502 519 5257
Dirac brackets      32831 3327
Dirac brackets in electrodynamics      3479
Dirac equation      1 614 225 56572
Dirac matrices      89 21419
Dirac matrices, slash notation, defined      358
Dirac matrices, traces      361 3724
Dirac representation of homogeneous Lorentz group      21319
Dirac, P. A. M.      4 5 6 7 8 9 10 11 12 13 14 18 19 22 23 24 27 28 29 32 33 34 39 40 41 42 43 44 46 47 49 105 200 213 218 256 292 325 328 329 330 335 345 376 424 457 470 489 565 566 567 596
Dispersion relations      460 4629
Distorted wave Born approximation      1467
Donoghue, J. F.      533
Dotted and undotted indices      230
Drell, S. D.      532
Dresden, M.      61
Drinkwater, J. W.      47
Druehl, K.      424
Duality      232 371
Dyson series      144 25960
Dyson, F. J.      37 48 106 144 168 258 259 287 29/ 376 499 532
Eckart      153 156 162 165
Eclipsing binaries      368
Edmonds, A. R.      106 167 165 257 596
Effective field theories      499 5235
Ehrenfest, P.      15 29 43 45
Einstein, A.      12 13 18 19 43 55 518
Electric charge      341
Electric charge radius, defined      493
Electric charge, conservation      122 537
Electric charge, renormalization      342 4428 473 4803
Electric dipole moments      81 521
Electron, charge radius      493
Electron, classical theory      31 369 496
Electron, magnetic moment      6 10 14 36 457 468 520
Electron, spin      69
Elliptic polarization      360
Elsasser, W.      3 40
Energy shifts of atomic states      312 574
Energy shifts of atomic states, ls energy shifts      594 (also see Lamb shift Uehling Muonic
Energy-momentum tensor      31012
entropy      151
Epstein, S.      46
Equivalence principle      537
Erickson, G. W.      498
Euclidean path integrals      384
Euler constant      479 497
Euler Lagrange equations      300
Euler, H.      32 46 523 524 526 533
Exact p-forms      369
Excitation energies, in hydrogen      5923
Exclusion principle      11
Exterior derivatives      369
External fields      266 28790 41213 55662 5728
Fabri, E.      168
Faddeev equations      188
Faddeev, L. D.      190 376 378 424
Feenberg, E.      167 168
Feinberg, G.      167 530 533
Feinberg, J.      335
Fermi Dirac statistics      12 1712 26770 41820
Fermi, E.      11 19 23 39 421 44 292
Ferretti, B.      767
Feynman diagrams      367 25991
Feynman diagrams for electrodynamics      3558
Feynman gauge      355 417
Feynman parameters      474 486 497
Feynman, R. P.      33 36 37 38 47 45 259 276 280 286 353 354 355 360 375 376 377 400 411 413 417 423 424 426 430 459 472 474 486 495 559 572
Field equations      200 21112 239
Field renormalization      3312 43642 452 461 473 479 484 5434
Field-translation-invariant scalar theory      5213
Fields      (see Quantum fields)
Fierz, M.      20 40 44 46 47 257
Fine structure      46 570
Fine structure constant      2 5
First class constraints      (see Constraints)
Fitch, V. L.      106 133 167
Flanders, H.      106 375
Flavors (of leptons)      529
Floating cutoff      5258
Fock, V.      22 23 41 44 375
Foley, H. M.      45
Forests      51213
form factors      4527 48593 5802
Frautschi, S. C.      471 562
Fredenhagen, K.      424
French, J. B.      35 38 47 593 596
Friedman, J. I.      106 167
Froehlich, H.      48
Froissart bound      159
Froissart, M.      168
Fukuda, H.      47
Functionals, notation      299
Furry's theorem      4289 509
Furry, W. H.      23 27 28 32 44 46 428 470
Gaberdiel, R.      424
Galilean invariance      62 145 21718
Gamow, G.      7 39 42
Garwin, R.      106 167
Gasser, J.      533
Gauge transformations      2512 33943 345 370 44852 Coulomb Temporal Axial Unitarity Feynman
Gaussian Integrals      4203
Gell-Mann, M.      123 132 167 291 477 556 563
General relativity      255 312 316 369 51819 521
Generators of symmetries      30714
Georgi, H.      257
Germer, L. H.      3 40
Gerstein, I. S.      424
Glimm, J.      423
Global symmetries, defined      307
Gluons      549
Goldberger, M. L.      166 463 471 556 563
Goldstone, J.      178 189
Gordon, W.      4 7 10 13 25 27 41 42 200 211 239 277 596
Goudsmit. S.      5 10 41
Grassmann variables, defined      401
Graviton      734 253 521 537 548
Green, M. B.      375
Grisaru, M.      563
Grotch, H.      596
Groups, defined      52 (also see Abelian groups Homotopy Lie Little Representations Semi-simple
Gudehus, T.      257
Guersey, F.      106
Haag, R.      424
Haenscb, T. W.      596
Hafstad, L. D.      767
Hahn, Y.      532
Halter, J.      533
Hamiltonian for complex scalar field      22
Hamiltonian for Dirac equation      8
Hamiltonian for electrodynamics      34950
Hamiltonian for free particles      176
Hamiltonian for interacting Dirac field      323
Hamiltonian for interacting scalar fields      199 302
Hamiltonian for interacting vector field      321
Hamiltonian for one-dimensional scalar field      1517
Harvey, J.      533
Hawking, S. W.      533
Heisenberg picture      109 288 297 425
Heisenberg, W.      3 4 10 15 16 17 20 21 24 25 29 32 33 40 41 42 43 44 45 46 109 766 292 519 532 533
Heitler, W.      29 45 45
Helicity, defined      72
Helicity, limitations for massless particle fields      2534
Helicity, limited to integers and half-integers      90
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