Quantum chromodynamics | p. 1 |
Canonical quantization | p. 3 |
Fundamental relations of chrornodynamics | p. 3 |
Gauge invariance in Qcd | p. 8 |
Quantization of the free gluon field | p. 12 |
Feynman rules in Qcd with a covariant gauge | p. 14 |
Formalism of functional integration | p. 21 |
Functional integral in quantum mechanics | p. 21 |
Boson fields, quantization by means of the functional integrals method | p. 28 |
Fermion fields quantization by means of the functional integrals method | p. 33 |
Functional formulation of Qcd | p. 40 |
Renormalization and unitarity | p. 49 |
Primitive divergent diagrams | p. 49 |
Slavnov-Taylor identities | p. 51 |
Ghosts and S-matrix unitarity | p. 55 |
Renormalization of one-loop diagrams | p. 60 |
Asymptotical freedom | p. 77 |
Callan-Symanzik equation | p. 77 |
Evolution of the effective coupling constant in Qcd | p. 83 |
Chiral symmetries | p. 91 |
Currents algebra | p. 91 |
Weak and electromagnetic currents of hadrons | p. 95 |
Adler's sum rules for neutrino reactions | p. 101 |
Goldstone theorem | p. 106 |
Hypothesis of the partially conserved axial current | p. 115 |
U(l)-problem | p. 119 |
Anomalies | p. 121 |
Adler-Bell-Jackiw anomaly (perturbative approach) | p. 121 |
Adler-Bell-Jackiw anomaly (nonperturbative approach) | p. 129 |
p0 ? ?? decay | p. 132 |
Chiral anomalies and chiral gauge theories | p. 134 |
Anomalous breaking of scale invariance | p. 138 |
Hard processes in Qcd | p. 141 |
e”e+ annihilation into hadrons | p. 141 |
Deep inelastic scattering of leptons by a proton | p. 148 |
Parton distribution functions | p. 154 |
Quark-gluon dynamics | p. 162 |
Scaling violation. Altarelli-Parisi equation | p. 172 |
Fragmentation functions | p. 181 |
Drell-Yan process | p. 185 |
Gauge bosons production at hadron collisions | p. 191 |
Higgs bosons production | p. 207 |
Lattice Qcd | p. 219 |
Lattice approach | p. 219 |
Scalar field | p. 221 |
Fermion fields | p. 226 |
Geometric interpretation of gauge invariance | p. 229 |
Qcd action | p. 233 |
Confinement | p. 240 |
Hadron masses | p. 246 |
Quark-gluon plasma | p. 253 |
Aggregate states of matter | p. 253 |
Looking for Qgp | p. 255 |
Qgp within holographic duality | p. 266 |
Resume | p. 270 |
Qcd vacuum | p. 273 |
Kinks and breathers | p. 273 |
Topology and vacuum in gauge theory | p. 277 |
Vortices and monopoles | p. 283 |
Instantons | p. 290 |
Instanton physics | p. 302 |
Qcd experimental status | p. 309 |
Reference | p. 315 |
Electroweak interactions | p. 323 |
Glashow-WeinbergùSalam theory | p. 325 |
Choice of gauge group | p. 325 |
Lagrangian in generalized renormalizable gauge | p. 328 |
Cabibbo-Kobayashi-Maskawa matrix | p. 335 |
Four-fermion invariants and Fierz identities | p. 339 |
Muon decays | p. 344 |
(g-2)µ anomaly | p. 359 |
Effects of the interference of weak and electromagnetic interactions | p. 367 |
Neutrino-electron scattering | p. 373 |
Neutrino-nucleon scattering | p. 379 |
Physics beyond the standard, model | p. 383 |
Models, models | p. 383 |
Multipole momentsof gauge bosons | p. 389 |
"Left-right model | p. 396 |
Left-right model in the making | p. 410 |
Appendix: Feynman rules for the Gws model | p. 431 |
References | p. 439 |
Neutrino physics | p. 443 |
Neutrino properties | p. 445 |
Neutrino mass in models with the SU(2)l_x_U(1)y gauge group | p. 445 |
Multipole moments of neutrinos | p. 454 |
Neutrino oscillation in a vacuum | p. 461 |
Description in the formalism of de Broglie's waves | p. 461 |
Oscillations and the uncertainty relation | p. 465 |
Wave packet treatment of neutrino oscillations | p. 467 |
Evolution equation for the neutrino | p. 469 |
Neutrino oscillation in matter | p. 473 |
Neutrino motion in condensate matter | p. 473 |
Adiabatic approximation | p. 479 |
Nonadiabatic effects | p. 482 |
Neutrino oscillations in the magnetic field | p. 488 |
Neutrino oscillations in the left-right model | p. 489 |
Solar neutrinos | p. 497 |
Some information about Sun structure | p. 497 |
Sources of solar neutrinos | p. 500 |
Detection of solar neutrinos | p. 502 |
Analysis of neutrino observation data | p. 506 |
Neutrino propagation through the Earth | p. 511 |
Atmospheric neutrinos | p. 515 |
Cosmic rays | p. 515 |
Atmospheric neutrino production | p. 517 |
Atmospheric neutrino detection | p. 519 |
Results and perspectives | p. 523 |
Instead of an epilogue | p. 543 |
References | p. 547 |
Index | p. 551 |
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