Ebook: Introduction to Gauge Field Theories
- Genre: Physics // Quantum Physics
- Tags: Elementary Particles Quantum Field Theory, Applications of Mathematics, Appl.Mathematics/Computational Methods of Engineering, Mathematical Methods in Physics
- Series: Texts and Monographs in Physics
- Year: 1984
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
In recent years, gauge fields have attracted much attention in elementary par ticle physics. The reason is that great progress has been achieved in solving a number of important problems of field theory and elementary particle physics by means of the quantum theory of gauge fields. This refers, in particular, to constructing unified gauge models and theory of strong interactions between the elementary particles. This book expounds the fundamentals of the quantum theory of gauge fields and its application for constructing unified gauge models and the theory of strong interactions. In writing the book, the authors' aim was three-fold: firstly, to outline the basic ideas underlying the unified gauge models and the theory of strong inter actions; secondly, to discuss the major unified gauge models, the theory of strong interactions and their experimental implications; and, thirdly, to acquaint the reader with a rather special mathematical approach (path-in tegral method) which has proved to be well suited for constructing the quantum theory of gauge fields. Gauge fields are a vigorously developing area. In this book, we have select ed for presentation the more or less traditional and commonly accepted mate rial. There also exist a number of different approaches which are presently being developed. The most important of them are touched upon in the Conclusion.
Content:
Front Matter....Pages I-XII
Introduction....Pages 1-3
Front Matter....Pages 5-5
Global Invariance....Pages 7-25
Local (Gauge) Invariance....Pages 26-37
Spontaneous Symmetry-Breaking....Pages 38-49
Front Matter....Pages 51-51
Path Integrals and Transition Amplitudes....Pages 53-78
Covariant Perturbation Theory....Pages 79-106
Front Matter....Pages 107-107
Lagrangians of the Electroweak Interactions....Pages 109-132
Quantum Electrodynamics....Pages 133-145
Weak Interactions....Pages 146-165
Higher Orders in Perturbation Theory....Pages 166-184
Front Matter....Pages 185-185
Asymptotically Free Theories....Pages 187-206
Dynamical Structure of Hadrons....Pages 207-219
Quantum Chromodynamics. Perturbation Theory....Pages 220-244
Lattice Gauge Theories. Quantum Chromodynamics on a Lattice....Pages 245-265
Grand Unification....Pages 266-288
Topological Solitons and Instantons....Pages 289-315
Conclusion....Pages 316-320
Back Matter....Pages 321-332
Content:
Front Matter....Pages I-XII
Introduction....Pages 1-3
Front Matter....Pages 5-5
Global Invariance....Pages 7-25
Local (Gauge) Invariance....Pages 26-37
Spontaneous Symmetry-Breaking....Pages 38-49
Front Matter....Pages 51-51
Path Integrals and Transition Amplitudes....Pages 53-78
Covariant Perturbation Theory....Pages 79-106
Front Matter....Pages 107-107
Lagrangians of the Electroweak Interactions....Pages 109-132
Quantum Electrodynamics....Pages 133-145
Weak Interactions....Pages 146-165
Higher Orders in Perturbation Theory....Pages 166-184
Front Matter....Pages 185-185
Asymptotically Free Theories....Pages 187-206
Dynamical Structure of Hadrons....Pages 207-219
Quantum Chromodynamics. Perturbation Theory....Pages 220-244
Lattice Gauge Theories. Quantum Chromodynamics on a Lattice....Pages 245-265
Grand Unification....Pages 266-288
Topological Solitons and Instantons....Pages 289-315
Conclusion....Pages 316-320
Back Matter....Pages 321-332
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