Spis treści: Advanced Particle Physics, Vol. 2: The Standard Model and Beyond


I Quantum chromodynamics, s. 1

1 Canonical quantization, s. 3

  • 1.1 Fundamental relations of chromodynamics
  • 1.2 Gauge invariancc in QCD
  • 1.3 Quantization of the free gluon field
  • 1.4 Feynman rules in QCD with a covariant gauge

2 Formalism of functional integration, s. 21

  • 2.1 Functional integral in quantum mechanics
  • 2.2 Boson fields quantization by means of the functional integrals method
  • 2.3 Fermion fields quantization by means of the functional integrals method
  • 2.4 Functional formulation of QCD

3 Renormalization and unitarity, s. 49

  • 3.1 Primitive divergent diagrams
  • 3.2 Slavnov Taylor identities
  • 3.3 Ghosts and S'-matrix unitarity
  • 3.4 Renormalization of one-loop diagrams

4 Asymptotical freedom, s. 77

  • 4.1 Callan-Symanzik equation
  • 4.2 Evolution of the effective coupling constant in QCD

5 Chiral symmetries, s. 91

  • 5.1 Currents algebra
  • 5.2 Weak and electromagnetic currents of hadrons
  • 5.3 Adler's sum rules for neutrino reactions
  • 5.4 Goldstone theorem
  • 5.5 Hypothesis of the partially conserved axial current
  • 5.6 [/(l)-problem

6 Anomalies, s. 121

  • 6.1 Adlcr- Bell-Jackiw anomaly (perturbative approach)
  • 6.2 Adler-Bell-Jackiw anomaly (nonperturbative approach)
  • 6.3 7T° —> 77 decay
  • 6.4 Chiral anomalies and chiral gauge theories
  • 6.5 Anomalous breaking of scale invariance

7 Hard processes in QCD, s. 141

  • 7.1 e~e+ annihilation into hadrons
  • 7.2 Deep inelastic scattering of leptons by a proton
  • 7.3 Parton distribution functions
  • 7.4 Quark-gluon dynamics
  • 7.5 Scaling violation. Altarelli -Parisi equation
  • 7.6 Fragmentation functions
  • 7.7 Drell-Yan process
  • 7.8 Gauge bosons production at hadron collisions
  • 7.9 Higgs bosons production

8 Lattice QCD, s. 219

  • 8.1 Lattice approach
  • 8.2 Scalar field
  • 8.3 Fermion fields
  • 8.4 Geometric interpretation of gauge invariance
  • 8.5 QCD action
  • 8.6 Confinement
  • 8.7 Hadron masses

9 Quark-gluon plasma, s. 253

  • 9.1 Aggregate states of matter
  • 9.2 Looking for QGP
  • 9.3 QGP within holographic duality
  • 9.4 Resume

10 QCD vacuum, s. 273

  • 10.1 Kinks and breathers
  • 10.2 Topology and vacuum in gauge theory
  • 10.3 Vortices and monopoles
  • 10.4 Instantons
  • 10.5 Instanton physics

II QCD experimental status, s. 309

11 Electroweak interactions, s. 323

12 Glashow Weinberg Salam theory, s. 325

  • 12.1 Choice of gauge group
  • 12.2 Lagrangian in generalized renormalizable gauge
  • 12.3 Cabibbo-Kobayashi-Maskawa matrix
  • 12.4 Four-fermion invariants and Fierz identities
  • 12.5 Muon decays
  • 12.6 (g - 2);j anomaly
  • 12.7 Effects of the interference of weak and electromagnetic interactions
  • 12.8 Neutrino-electron scattering
  • 12.9 Neutrino-nucleon scattering

13 Physics beyond the standard model, s. 383

  • 13.1 Models, models
  • 13.2 Multipolc moments of gauge bosons
  • 13.3 Left-right model
  • 13.4 Left-right model in the making
  • Appendix: Feynman rules for the GWS model
  • References

III Neutrino physics, s. 443

14 Neutrino properties, s. 445

  • 14.1 Neutrino mass in models with the SU(2)L X U(1)Y gauge group
  • 14.2 Multipole moments of neutrinos

15 Neutrino oscillation in a vacuum, s. 461

  • 15.1 Description in the formalism of de Broglie's waves
  • 15.2 Oscillations and the uncertainty relation
  • 15.3 Wave packet treatment of neutrino oscillations
  • 15.4 Evolution equation for the neutrino

16 Neutrino oscillation in matter, s. 473

  • 16.1 Neutrino motion in condensate matter
  • 16.2 Adiabatic approximation
  • 16.3 Nonadiabatic effects
  • 16.4 Neutrino oscillations in the magnetic field
  • 16.5 Neutrino oscillations in the left-right model

17 Solar neutrinos, s. 497

  • 17.1 Some information about Sun structure
  • 17.2 Sources of solar neutrinos
  • 17.3 Detection of solar neutrinos
  • 17.4 Analysis of neutrino observation data
  • 17.5 Neutrino propagation through the Earth

18 Atmospheric neutrinos, s. 515

  • 18.1 Cosmic rays
  • 18.2 Atmospheric neutrino production
  • 18.3 Atmospheric neutrino detection

19 Results and perspectives, s. 523

Instead of an epilogue
References
Index

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