Spis treści: Advanced Particle Physics, Vol. 1: Particles, Fields, and Quantum Electrodynamics


Introduction, s. xi
Designations, s. xv

I Mathematical Prelude, s. 1

1. Relativistic invariance, s. 3

2. Three-dimensional world, s. 9

  • 2.1 Orthogonal transformation group 0(3)
  • 2.2 Tensor representations of the S*0(3)-group

3. The four-dimensional Minkowski space, s. 21

  • 3.1 The homogeneous Lorenz group
  • 3.2 Classification of irreducible representations of the homogeneous Lorentz group
  • 3.3 Tensor representations of the limited homogeneous Lorentz group
  • 3.4  Spinor representations of the homogeneous Lorentz group
  • 3.5   Poincare group and its representations

4 Lagrangian formulation of field theory, s. 37

  • 4.1 Principle of least action. Lagrange-Euler equations
  • 4.2 Noether theorem and dynamic invariants
  • 4.3 Energy-momentum tensor
  • 4.4 Tensor of angular momentum
  • 4.5 Electromagnetic current vector and electric charge
  • 4.6 Isotopic spin

5 Discrete symmetry operations, s. 53

  • 5.1 Spatial inversion
  • 5.2 Time inversion
  • 5.3 Charge conjugation
  • 5.4 G-parity
  • 5.5 CPT theorem
  • Problems
  • References

II Birds's-Eye View on the Microworld, s. 71

6 Fundamental interactions

6.1 Species of interactions
6.2 On the path to a unified field theory
    
7 Atoms- Nuclei—Nucleons, s. 101

  • 7.1      Atomism
  • 7.2      Rutherford model of the atom
  • 7.3      Structure of the atomic nucleus

8 From muon to gluon, s. 113

9 Hadron families, s. 125

  • 9.1Yukawa hypothesis
  • 9.2 Isotopic multiplets
  • 9.3 Unitary multiplets

10 Quark "atoms", s. 167

  • 10.1 Hypothesis of fundamental triplets
  • 10.2 X-ray photography of nucleons
  • 10.3 Parton model
  • 10.4 Quantum chromodynamics. The first acquaintance
  • 10.5 Heavy quarks and flavor symmetries

11 Passing glance on the theory of electroweak interaction, s. 219

  • 11.1 Spontaneous symmetry breaking
  • 11.2 Glashow-Weinberg-Salam theory

12 Fundamental particles of the Standard Model, s. 237

13 Technical equipment of particle physics, s. 245

  • 13.1 Accelerators
  • 13.2 Detectors
  • 13.3 Neutrino Telescopes
  • Problems
  • References

III Quantum Idyll—Free Fields, s. 273

14 Scalar field, s. 275

  • 14.1 Klein-Gordon equation
  • 14.2 Quantization
  • 14.3 Production and destruction operators
  • 14.4 Wave-corpuscle dualism
  • 14.5 Commutation relations. Properties of commutator functions
  • 14.6 Microcausality
  • 14.7 Rclativistically covariant scheme of the canonical quantization
  • 14.8 Green function of the scalar field
  • 14.9 Causal Green function
  • 14.10 Chronological product. Convolution of operators
  • 14.11 First-order equation for scalar particles

15 Particles with spin 1/2, s. 309

  • 15.1 Dirac equation
  • 15.2 Calculating 7-matrix tracks
  • 15.3 Relativistic covariance
  • 15.4 Solutions of the free Dirac equation
  • 15.5 Once more about particles spin
  • 15.6 Polarization density matrix for Dirac particles
  • 15.7 Dirac equation in the external electromagnetic field
  • 15.8 Charge conjugation, spatial inversion, and time inversion for the Dirac field
  • 15.9 Relativistic quantization scheme
  • 15.10 Dirac field quantization (momentum space)
  • 15.11 Dirac field quantization (configuration space)
  • 15.12 Majorana equation
  • 15.13 Quantization of Majorana field
  • 15.14 Second quantized representation of discrete operations C, P, and T for particles with spin 1/2
  • 15.15 Neutrino in the Dirac and Majorana theory

16 Massive vector field, s. 371

  • 16.1 Proca equation
  • 16.2 Dynamic invariants of the vector field
  • 16.3 Commutation relations in the Proca theory
  • 16.4 Duffin-Kemmer equation for the vector field

17 Electromagnetic field, s. 383

  • 17.1 Maxwell equations
  • 17.2 Dynamic invariants of the electromagnetic field
  • 17.3 Electromagnetic field quantization
  • 17.4 Quantization with use of an indefinite metric
  • 17.5  Photon polarization
  • Problems
  • References

IV Quantum Electrodynamics, s. 409

18 S-matrix, s. 411

  • 18.1 Equations and dynamic variables in the Heisenberg representation
  • 18.2 Interaction representation
  • 18.3 Scattering matrix
  • 18.4 Representation of the S'-matrix as the sum of normal products
  • 18.5 Calculation of S'-matrix elements
  • 18.6 Feynman rules in coordinate space
  • 18.7 Furry's theorem
  • 18.8 Feynman rules in the momentum representation
  • 18.9 Crossing symmetry
  • 18.10 Cross section for unpolarized particles
  • 18.11 Cross section for scattering by external fields
  • 18.12 Decays of elementary particles
  • 18.13 Cross section for polarized particles
  • 18.14 Statistical hypothesis

19 Transmission of 7-radiation through matter, s. 465

  • 19.1 Photoeffect (nonrelativistic case)
  • 19.2 Photoeffect (relativistic case)
  • 19.3 Compton-effect (unpolarized case)
  • 19.4 Compton-effect (polarized case)
  • 19.5 Electron-positron pair production by the photon in the nucleus field
  • 19.6 Resume

20 Scattering of electrons and positrons, s. 499

  • 20.1 Bremsstrahlung
  • 20.2 Radiation of long-wave photons. Infrared catastrophe
  • 20.3 e~e+-pair annihilation into two 7-quanta. e~e+-pair production under annihilation of two 7-quanta
  • 20.4 Positronium lifetime
  • 20.5 Moller scattering e~ + e^ -+ e~ + e~
  • 20.6 Processes e+ + e~ -> I + I (I = e~, y,~, r~)

21 Radiative corrections, s. 529

  • 21.1 Calculations of integrals over virtual momenta
  • 21.2 Regularization methods
  • 21.3 Self-energy of the electron
  • 21.4 Vacuum polarization
  • 21.5 Vertex function of the third order
  • 21.6 Radiative corrections to scattering of an electron by the Coulomb nucleus field
  • 21.7 Anomalous magnetic moment of leptons
  • 21.8 Lamb shift

22 Renormalization theory, s. 587

  • 22.1 Primitive divergent diagrams
  • 22.2 Effective elements of Feynman diagrams
  • 22.3 Ward identity
  • 22.4 Extraction of divergences
  • 22.5 QED renormalizability
  • 22.6 Renormalization group
  • 22.7 Consistency problems of the QED

Problems, s. 623
References, s. 627
Appendix: Natural system of units, s. 631
Index, s. 633

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