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Kruglov, Sergey. Four-fermion models in the theory of electro-weak and strong interactions / by S. I. Kruglov. — 1 online resource (viii, 336 pages) — <URL:http://elib.fa.ru/ebsco/2018101.pdf>.

Record create date: 2/5/2019

Subject: Fermions — Mathematical models.; Quarks.; Fermions — Mathematical models.; Quarks.; SCIENCE / Physics / Quantum Theory

Collections: EBSCO

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Table of Contents

  • Table of Contents
  • Preface
  • PART I
    • Chapter 1
    • Chapter 2
      • 2.1 Dynamical symmetry breaking
        • 2.1.1 Collective variables and perturbation theory in a nonlinear spinor model
        • 2.1.2 The Ward−Takahashi identities and Dyson−Schwinger equations
        • 2.1.3 Four-fermion interaction with the violation of CP-parity
        • 2.1.4 Dynamical mass formation and symmetry breaking in SU(n) ⊗ U(1) four-fermion models
    • Chapter 3
      • 3.1 Global SU(2)⊗U(1)-invariant models
        • 3.1.1 The initial model
        • 3.1.2 Independent generations of leptons
        • 3.1.3 Dynamical symmetry breaking in SU(2)L⊗U(1)-model with two right singlets and quark mass generation
    • Chapter 4
      • 4.1 Local SU(2)L ⊗ U(1)-invariant model
        • 4.1.1 SU(2)L⊗U(1)-invariant four-fermion model with independent fermion generations
        • 4.1.2 Perturbation expansion and the effective Lagrangian
        • 4.1.3 Mixed interactions between leptons of different generations
        • 4.1.4 Quark sector
  • PART II
    • Chapter 5
      • 5.1 Non-perturbative effects
        • 5.1.1 Chiral symmetry breaking and effective action in Abelian chromodynamics
        • 5.1.2 On four-quark interaction induced by instantons
        • 5.1.3 Investigation of infrared asymptotic of Green’s function in the four-fermion model
    • Chapter 6
      • 6.1 Low-energy characteristics
        • 6.1.1 Electromagnetic polarizabilities of pions
        • 6.1.2 Electromagnetic polarizabilities of nucleons
        • 6.1.3 The spontaneous CP violation in the SU(3) NJL model
        • 6.1.4 The model and perturbation expansion
        • 6.1.5 Propagators of quarks and mesons
        • 6.1.6 The effective action and mass spectrum of mesons
        • 6.1.7 Effective chiral Lagrangians of the SU(3)-group and low-energy physics of hadrons
        • 6.1.8 The decay π+ → μ+¯νμ in the field of the plane electromagnetic wave by taking into account pion polarizabilities
    • Chapter 7
    • Chapter 8
      • 8.1 Appendix
        • 8.1.1 Pion in the field of the uniform external magnetic field
        • 8.1.2 Pion in the field of the uniform external electric field
        • 8.1.3 Pion in the field of the electromagnetic plane wave
  • Bibliography

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