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| Àâòîðèçàöèÿ |
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| Ïîèñê ïî óêàçàòåëÿì |
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| Zee A. — Quantum field theory in a nutshell |
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| Ïðåäìåòíûé óêàçàòåëü |
Path integral formalism, replacing 457
Pauli exclusion principle 117 301
Pauli exclusion principle, history of 117n
Pauli matrices 238
Pauli — Hopf identity 323
Pauli — Villars regularization 151—152
Pauli, Wolfgang, on spin-statistics connection 118
Peierls instability 275
Peierls, Rudolf 347
Pentagon anomaly 250 250f
Perturbation theory 48—49
Perturbation theory, bare 160
Perturbation theory, Feynman diagrams in 54 55f
Perturbation theory, finite temperature 263
Perturbation theory, physical (renormalized/dressed) 160—161 161f
Perturbative quantum gravity 427
Phonon (photons) 5 258
Photon (photons), absence of rest frame for 168
Photon (photons), birth and death of 4
Photon (photons), Bose — Einstein statistics for 117
Photon (photons), fluctuation into electron and positron 183—185 184f
Photon (photons), force associated with 27
Photon (photons), longitudinal mode of 141
Photon (photons), spin of 34
Photon propagation, charge as measure of 188
Photon propagation, quantum fluctuations and 183—185 184f
Photon propagator 140—141
Photon propagator, Fourier transform of 190
Photon propagator, physical (renormalized) 184 184f
Physical perturbation theory 160—161 161f
Pion (pions) ( meson) and nucleons, interaction between 318—319
Pion (pions) ( meson) as Nambu — Goldstone boson 205 370 371
Pion (pions) ( meson), massless 206 319
Pion (pions) ( meson), prediction regarding 27
Pion (pions) ( meson), quarks as components of 368
Pion (pions) ( meson), weak decay of 202—204
Pion-nucleon coupling constant 206
Planck mass for (n+3+1)-dimensional universe 39—40
Planck mass, modified 420
Podolsky, B. 427
Poincare lemma 219
Point particle, action of, constructing 79—82
Point particle, stress energy of, calculating 82
Point particle, world line traced out by, length of 79 80f
Poisson equation 425
Polarization, degrees of 32
Politzer, H.D., on Yang — Mills theory 369
Polyakov action 453
Polyakov, Sasha, on magnetic monopoles 285
Pontryargin index 286
Positron (positrons), Dirac’s conception of 5
Positron (positrons), photon fluctuation into 183—185 184f
Potential energy, double-well 194 194f
Power counting theorem 161—163
Preons, theories about 251—252
Propagation of particles, describing 46—47 49
Propagator 22—23
Propagator for Dirac field 126
Propagator for massive spin 1 particle 33
Propagator for massive spin 2 particle 33 426
Propagator in canonical formalism 67
Propagator, fermion 109
Propagator, graviton 423—424
Propagator, photon 140—141
Proton (protons) and neutron, internal symmetry of 71
Proton (protons), charge of, grand unification on 394
Proton (protons), electron scattering off of, deep inelastic 341
Proton (protons), electron scattering off of, Schroedinger equation for 3
Proton (protons), magnetic moment of, anomaly in 439—440
Proton (protons), quarks as components of 368
Proton (protons), stability of 397
Proton decay, branching ratios for 400—401
Proton decay, effective theory of 440—441
Proton decay, grand unification and 397—398 400 441
Proton decay, slow rate of 403
Quantum chromodynamics (QCD) 341 369
Quantum chromodynamics (QCD) at high energies 375
Quantum chromodynamics (QCD), analytic solution of, search for 375
Quantum chromodynamics (QCD), large N expansion of 377—379
Quantum chromodynamics (QCD), renormalization group flow of 371—372
Quantum electrodynamics (QED) 30
Quantum electrodynamics (QED), coupling constant of 148
Quantum electrodynamics (QED), coupling in 339
Quantum electrodynamics (QED), electromagnetic gauge transformation in 171
Quantum electrodynamics (QED), Feynman rules for, derivation of 135—141
Quantum electrodynamics (QED), intellectual incompleteness of 118
Quantum electrodynamics (QED), Lagrangian for 97 135
Quantum electrodynamics (QED), renormalizability of 158
Quantum field theory (theories) and condensed matter physics 5 172 255
Quantum field theory (theories) at finite density 266
Quantum field theory (theories) at finite temperature 263—264
Quantum field theory (theories) in (0+0)-dimensional spacetime 380
Quantum field theory (theories) in 2-dimensional spacetime 453
Quantum field theory (theories) in curved spacetime 77 264
Quantum field theory (theories) of strong interaction 318
Quantum field theory (theories) on repulsion and attraction 30—34
Quantum field theory (theories), anharmonicity in 41 85
Quantum field theory (theories), asymptotic behavior of, study of 340—341
Quantum field theory (theories), central identity of 167 460
Quantum field theory (theories), crisis of 202 318 437
Quantum field theory (theories), divergences in 56—57 145—146
Quantum field theory (theories), Euclidean 261—262 263 264
Quantum field theory (theories), gravity as 420—422
Quantum field theory (theories), ground state in 196
Quantum field theory (theories), harmonic paradigm and 5
Quantum field theory (theories), hidden structures in 457
Quantum field theory (theories), history of 59
Quantum field theory (theories), infinities in 145—146
Quantum field theory (theories), innovative applications of 455—456 458
Quantum field theory (theories), integral of 84—85
Quantum field theory (theories), low energy manifestation of 146 154 437
Quantum field theory (theories), mattress model and 16—18
Quantum field theory (theories), motivation for constructing 54
Quantum field theory (theories), need for 3—5 6 122
Quantum field theory (theories), nonrelativistic limit of 172—173
Quantum field theory (theories), relativistic vs. nonrelativistic 173—175
Quantum field theory (theories), renormalizable vs. nonrenormalizable 154
Quantum field theory (theories), restrictions within 455 456
Quantum field theory (theories), steps toward 206—207
Quantum field theory (theories), strong and weak interactions applied to 202
Quantum field theory (theories), supersymmetric 443 450
Quantum field theory (theories), surface growth and 327—328
Quantum field theory (theories), symmetry breaking in 195—196
Quantum field theory (theories), theories subsumed by 455
Quantum field theory (theories), threshold of ignorance in 146—147 438
Quantum field theory (theories), triumph of 437 455
Quantum field theory (theories), vacuum in 19
Quantum fluctuations and electric charge 188 189
Quantum fluctuations and photon propagation 183—185 184f
Quantum fluctuations and symmetry breaking 200 208 214 243
Quantum fluctuations, axial current conservation destroyed by 247—248
Quantum fluctuations, effective potential generated by 215
Quantum fluctuations, first order in 210—211
Quantum fluctuations, higher order, and chiral anomaly 286
Quantum Hall fluid see “Hall fluid (fluids)”
Quantum Hall system 255
Quantum mechanics and general relativity, marriage of 6
Quantum mechanics and magnetic monopoles 217
Quantum mechanics and relativistic physics, joining in spin-statistics connection 119
Quantum mechanics and special relativity, marriage of 3 6 118
Quantum mechanics and vector potential, need for 217
Quantum mechanics, harmonic oscillator in, solving 41
Quantum mechanics, Heisenberg’s approach to 61—62
Quantum mechanics, partition function in 262—263
Quantum mechanics, path integral formalism of 7—13
Quantum mechanics, quantum field theory as generalization of 84—85 455
Quantum mechanics, symmetry breaking in 195—196
Quantum mechanics, symmetry of 243
Quantum mechanics, time reversal in 99—100
Quantum statistics 117
| Quantum vacuum 340
Quark (quarks) and leptons, neutral current interaction between 366
Quark (quarks) in electroweak unification 365
Quark (quarks), color of 368 369
Quark (quarks), confinement of 360 369—370
Quark (quarks), families of 366
Quark (quarks), flavors of 368
Quark (quarks), generations of 413
Quark (quarks), origins of concept 207
Quark (quarks), strong interaction between, weakening of 341
Quasiparticle (quasiparticles) 304
Quasiparticle (quasiparticles) as vortex 306
Quasiparticle (quasiparticles), charge of 305—306
Quasiparticle (quasiparticles), fractional statistics and 305 306
Radiation and atoms, interaction between 3
Radiation, Hawking 264—265
Ramakrishnan, T.V. 347
Ramond, Pierre, and seesaw mechanism 410
Random dynamics and quantum physics 328
Random matrix theory 379—380
Random matrix theory, Feynman rules in 381 381f
Random potential, impurities and 330
Rarita — Schwinger equations 116
Redundancy, Faddeev — Popov approach to 169—170
Reflection symmetry 70 197
Reflection symmetry, breaking 193 194 195
Regularization 147—148
Regularization, dimensional 151 152—153 187
Regularization, early taste of 65
Regularization, gauge invariance respected by 185—187
Regularization, Pauli — Villars 151—152
Relativistic physics see “General relativity” “Special
Relativistic physics and quantum physics, joining in spin-statistics connection 119
Relativistic physics, equations of motion in, unified view of 91
Relativistic physics, language of 24
Relativistic quantum field theory vs. nonrelativistic quantum field theory 173—175
Relativistic quantum field theory, correctness of, establishment of 179
Relevant operators 345
Renormalizable conditions, imposing 212—213
Renormalizable theory (theories) 154 158 438
Renormalizable theory (theories),  theory as 158 160
Renormalizable theory (theories), electroweak theory as 366
Renormalizable theory (theories), nonabelian gauge theory as 158 395
Renormalizable theory (theories), Yukawa theory as 163—164
Renormalization 145 148—150
Renormalization group 337 339
Renormalization group and Anderson localization 347—349
Renormalization group and effective description 349
Renormalization group in condensed matter physics 341—344
Renormalization group in high energy physics 340—341
Renormalization group in quantum chromodynamics 371—372
Renormalization group, effective field theory philosophy and 438
Renormalization of electric charge 189 190
Renormalization theory, application of 211—212
Renormalization, coupling 158—159
Renormalization, field 160
Renormalization, mass 159
Renormalization, wave function 160
Renormalized (dressed) perturbation theory 160—161 161f
Renormalized coupling constant 150
Reparametrization invariance 79
Replica method 333—334
Representations, conventions for naming 462
Representations, multiplying 468—469
Repulsion of bosons 174—175 257 316
Repulsion of vortices 316
Repulsion, quantum field theory on 30—31
Repulsion, spin 1 particle and 35
Ricci tensor 419
Riemann curvature tensor 419
Riemann — Christoffel symbol 81
Riemannian manifolds, differential geometry of 428—430
Rosenbluth, Marshall 101
Rotation group 111
Rotation group and Lorentz group, symmetry of 115
S-matrix theory 207 318
Salam, Abdus 155
Salam, Abdus, electroweak theory of 365
Salam, Abdus, superspace and superfield formalism of 444 445
Scalar boson operator 109
Scalar field and vacuum energy 65
Scalar field theory, classical field equation in 19
Scalar field theory, Euclidean functional integral and 261
Scalar field theory, Euclidean version of 268
Scalar field theory, massless version of 258
Scalar field, Feynman rules for 53—54 471—472
Scalar field, quantizing in curved spacetime 77
Scalar potentials 217
Scattering of particles see “Electron scattering”
Scattering of particles and vacuum fluctuations 122
Scattering of particles, describing 49—52 50f 51f
Scattering of particles, fermion-fermion, Feynman diagram for 156 157f
Scattering of particles, meson-meson see “Meson-meson scattering amplitude”
Scattering of particles, reflection symmetry in 70
Schrieffer, Bob 272
Schroedinger equation, electromagnetic gauge transformation in 171
Schroedinger equation, Klein — Gordon equation and 21n 172
Schroedinger equation, limitations of 3
Schroedinger equation, Yang — Mills structure in 234—235
Schwarz, John, on string theory 454n
Schwarzschild black hole 287—288
Schwarzschild solution for Hawking radiation 264
Schwinger, Julian, and effective potential 208
Schwinger, Julian, at Pocono conference (1948) 101
Schwinger, Julian, on Feynman’s contribution 41 49
Schwinger, Julian, on magnetic moment of electron 179—181 439
Schwinger, Julian, on path integral formalism 59
Schwinger, Julian, teaching style of 439
Schwinger, Julian, Yang — Mills theory and 361
Second-order phase transitions 267
Seesaw mechanism 410
Seiberg, Nathan 313
Self-dual theory 316
Semions 293
Slansky, Dick, and seesaw mechanism 410
SO(N) see “Special orthogonal group”
Solid state physics, Dirac equation in 273 274
Solitons (kinks), discovery of 277—279 455
Solitons (kinks), dynamically generated 388—389
Solitons (kinks), mass of 280
Solitons (kinks), topological stability of 279
Solitons (kinks), unifying language for discussing 283
Sources and sinks, creating 20 49 50f
Spacetime, curved see “Curved spacetime”
Spacetime, dimension of, and symmetry breaking 200
Spacetime, discretizing 21
Spacetime, Feynman diagrams in 53 57
Spacetime, symmetry of, Lorentz invariance as 70
Special orthogonal group SO(n) 461—464
Special orthogonal group SO(N), SO(10) grand unification, antineutrino field in 409—410
Special orthogonal group SO(N), SO(10) grand unification, binary code in 411—412
Special orthogonal group SO(N), SO(10) grand unification, spinor representation of 405—407 409 410
Special orthogonal group SO(N), SO(18) 413
Special orthogonal group SO(N), SO(3) 462—464
Special relativity and quantum mechanics, marriage of 3 6 118
Special unitary group SU(n) 464—468
Special unitary group SU(N), decomposing representations of 470
Special unitary group SU(N), SU(2) 467—468
Special unitary group SU(N), SU(2), of Heisenberg 469
Special unitary group SU(N), SU(3) 467 468
Special unitary group SU(N), SU(3), of Gell-Mann and Ne’eman 469
Special unitary group SU(N), SU(5) 469
Special unitary group SU(N), SU(5), Georgi and Glashow theory of 391—393
Spin angular momentum, Dirac equation on 178
Spin wave 199
Spin-statistics rule 117—118
Spin-statistics rule and anticommutation relations 119 121
Spin-statistics rule, price of violating 118—120
Spinor (spinors), Dirac 90 92 111 114
Spinor (spinors), Majorana 99 481
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