Dynamic symmetry breaking in physics of mesons and top condensation models [Динамическое нарушение симметрии в физике мезонов и моделях топ-конденсации] Абдельлатиф Махмуд Мохаммед Халифа

Короткий опис

Абдельлатиф Махмуд Мохаммед Халифа.
Динамическое нарушение симметрии в физике мезонов и моделях топ-конденсации = Dynamic symmetry breaking in physics of mesons and top condensation models : диссертация ... кандидата физико-математических наук : 01.04.02 / Абдельлатиф Махмуд Мохаммед Халифа; [Место защиты: Объединенный институт ядерных исследований]. - Дубна, 2021. - 125 с. : ил.
Оглавление диссертациикандидат наук Абдельлатиф Махмуд Мохаммед Халифа
Contents
Introduction
Chapter
Background
1.1. Dynamic symmetry breaking
1.2. The effective potential
1.3. Specific features of chiral symmetry
1.4. Chiral anomaly and the problem of rca^-mixing
1.5. Nambu mechanism and the Higgs sector of the SM
Chapter 2. Electromagnetic interaction of mesons and rca^mixing
2.1. Introduction
2.2. Effective Lagrangian
2.3. Examples
2.3.1. a1 ^ yn0 vertex
2.3.2. y ^ n-n+ vertex
2.3.3. The anomalous f1 ^ yn-n+ decay
2.3.4. The anomalous a1 ^ yn-n+decay
2.4. Summary
Chapter 3. Low-energy theorem for y ^ 3n
3.1. Introduction
3.2. The surface terms in the n° ^ yy decay
3.3. The na1 mixing effect in the m ^ 3n decay
3.4. The y ^ 3n low-energy theorem and the surface terms
3.5. Summary
Chapter 4. The axial-vector in rf ^ n-n+ y and rf ^ n-n+ y decays
4.1 Introduction
4.2. The rf — rf' mixing as a result of the flavour SU(3) symmetry breaking
4.3. The patterns of U(1) and SU(3) breaking in the rf ^ y y and rf ^ y y decays
4.4. rf/ rf' ^ n-n+y decays and na1 mixing
4.5. Summary
Chapter 5. Dynamical symmetry breaking in the top-condensation models
5.1. Introduction to the top-condensation models
5.2. The model of Miransky, Tanabashi, and Yamawaki (MTY)
5.3. Specific effective potential, gap equation, catalysis of < bb > condensate
5.4. Summary
Chapter 6. Nambu sum rule in the model of Miransky-T-Y
6.1. Introduction
6.2. The mass spectrum of MTY model on the bases of the Schwinger-DeWitt method
6.3. The U(1) breaking four-quark interactions and Nambu sum rule
6.4. Summary
Appendices
Appendix A: The Wick rotation to the Euclidean space-time
Appendix B: The heat kernel function and Seeley-DeWitt coefficients
Appendix C: Linearization of four-Fermi interactions
Appendix D: Infinitesimal transformations of fields
Appendix E: Quark content of the Higgs fields
Appendix F: Diagonalization of the Higgs states
Appendix G: The Yukawa part of the Higgs Lagrangian
Appendix H: An useful formula
List of figures
References