Arbuzov Non-perturbative Effective Interactions in the Standard Model

1. Auflage 2014
ISBN: 978-3-11-030521-0
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 23, 235 Seiten

Reihe: De Gruyter Studies in Mathematical Physics

Autoren/Hrsg.

Arbuzov, Boris A.

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Naturwissenschaften Physik Thermodynamik
• Naturwissenschaften Physik Quantenphysik

Inhaltsverzeichnis

1;Preface;5
2;1 Elementary particles and fields;11
2.1;1.1 Conventions and notations;11
2.2;1.2 Particles and interactions;12
2.3;1.3 Quantum electrodynamics;19
2.4;1.4 Quantum chromodynamics;23
2.5;1.5 Bethe–Salpeter equation;26
2.6;1.6 Effective interactions;28
2.6.1;1.6.1 Preliminaries;28
2.6.2;1.6.2 The model NJL;30
3;2 The standard model;37
3.1;2.1 The electro-weak theory;37
3.1.1;2.1.1 Feynman rules for the electro-weak interaction;50
3.1.2;2.1.2 Higgs scalar search;53
3.2;2.2 Status of the standard model;54
3.3;2.3 Properties of nonrenormalizable equations, instructive example;59
4;3 Bogoliubov compensation;67
4.1;3.1 Origin of the approach;67
4.2;3.2 Application to QFT;68
4.3;3.3 A spontaneous generation of the Nambu–Jona-Lasinio interaction;70
4.4;3.4 Justification of the model choice;76
4.5;3.5 Compensation equation in a six-dimensional scalar model;77
4.6;3.6 Bethe–Salpeter equation and zero excitation;86
4.7;3.7 Compensation equation for scalar field mass;87
4.8;3.8 Estimate of nonlinearity influence;89
4.9;3.9 Conclusions of simple scalar model;91
4.10;3.10 Appendix;93
5;4 Three-gluon effective interaction;96
5.1;4.1 Compensation equation;96
5.2;4.2 Running coupling;103
5.3;4.3 The gluon condensate;107
5.4;4.4 The glueball;109
5.5;4.5 Conclusion;111
6;5 Nambu–Jona-Lasinio effective interaction;112
6.1;5.1 Introduction;112
6.2;5.2 Effective NJL interaction;112
6.3;5.3 Scalar and pseudo-scalar states;119
6.4;5.4 Spontaneous breaking of the chiral symmetry;124
6.5;5.5 Pion mass and the quark condensate;126
6.6;5.6 Numerical results and discussion;129
6.7;5.7 Vector mesons;135
6.7.1;5.7.1 Compensation equations for effective form-factors;136
6.7.2;5.7.2 Wave functions of vector states;142
6.7.3;5.7.3 Results and discussion;148
6.8;5.8 Necessary formulae;149
7;6 Three-boson interaction;151
7.1;6.1 Compensation equation for anomalousthree-boson interaction;152
7.2;6.2 Effective strong interaction in the weak gauge sector;161
7.3;6.3 Scalar bound state of two W-s;163
7.4;6.4 Muon g-2;171
8;7 Possible four-fermion interaction of heavy quarks;177
8.1;7.1 Four-fermion interaction of heavy quarks;177
8.2;7.2 Doublet bound state .L TR;180
8.3;7.3 Stability problem;184
8.4;7.4 Possible effects of the heavy quarks interaction;186
9;8 Overall conclusion;189
9.1;8.1 Short review of achievements of the compensation approach;189
9.2;8.2 Examples of additional relations in the compensation approach;196
9.3;8.3 Weinberg mixing angle and the fine structure constant;206
9.4;8.4 Expectations;211
9.5;8.5 A possible effective interaction in the general relativity;214
9.6;8.6 Appendix;219
10;Bibliography;229
11;Index;234

Über Autor(innen)

Boris A. Arbuzov, Skobeltsyn Institute of Nuclear Physics of Lomonosov Moscow State University, Moscow, Russia.