A renormalization group approach to critical instability and fermion mass hierarchy

[目次]

  • 論文目録
  • CONTENTS / p2
  • 1.Introduction / p4
  • 2.Dynamical Higgs Scenario and its Problems / p8
  • 2.1 Minimal Top Condensation Model / p8
  • 2.2 Physical Problems of Dynamical Higgs Scenario / p13
  • 3.Critical Instability and Fermion Mass Hierarchy / p19
  • 3.1 Large Isospin Breaking / p19
  • 3.2 Gauged Nambu-Jona-Lasinio Model / p21
  • 3.3 Critical Instability in its Simplest Form:Low A Scenario of BKS / p24
  • 4.Renormalization Group Approch / p29
  • 4.1 Schwinger-Dyson VS Renormalization Group Approach / p29
  • 4.2 Compositeness Conditions as a Renormalization Group Boundary Condition / p32
  • 4.3 Our Basic Strategy : Correspondence Conditions and Generalizations / p38
  • 5.Renormalization Group Equations and Scheme Dependence / p42
  • 5.1 Renormalization Group Equations and Quadratic Divergence / p42
  • 5.2 Renormalization Group Equations in the Continuum Theory / p44
  • 5.3 Renormalization Group Equations in the Cutoff Theory / p51
  • 6.Analytic Solution to Renormalization Group Equations and Derivation of Gap Equation / p59
  • 6.1 Analytic Solution to Renormalization Group Equations / p59
  • 6.2 Description of Symmetry Breaking and Derivation of Gap Equation / p62
  • 6.3 Origin of Scheme Dependence:Identification of Cutoff Scale / p65
  • 6.4 Importance of RGE for Running Higgs Mass:Determination of Vacuum Expectation Value from the Cutoff / p68
  • 7.Inclusion of Gauge Interactions / p71
  • 7.1 Nature of Improved Ladder Approximation / p71
  • 7.2 Effects of Small Gauge Interactions / p73
  • 7.3 Some Comments on Higgs Loop Effects / p78
  • 7.4 Critical Instability in terms of Renormalization Group Equation / p79
  • 8.Some Physical Generalizations / p82
  • 8.1 Some Comments on Models with Two Higgs Doublets / p82
  • 8.2 Some Comments on Supersymmetric Extensions / p83
  • 8.3 Naive Application of Wilson's Scheme / p86
  • 9.Some Generalizations by Smooth Momentum Cutoff / p93
  • 9.1 Cutoff Function a la Wetterich and Simplified Treatments / p93
  • 9.2 Universal Behavior of Logarithmically- Divergent Integrals / p101
  • 10.Conclusions / p106
  • APPENDIX / p108
  • A.Quadratic Divergences in Pauli-Villars Regularization / p108
  • B.Hierarchical Structure of Renormalization Group Equations / p110
  • C.Analytic Solutions to Renormalization Group Equations / p114

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書名 A renormalization group approach to critical instability and fermion mass hierarchy
著作者等 中野 博章
書名別名 くりこみ群に基づく臨界不安定性とフェルミオン質量の階層性に対するアプローチ
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