Dimensional reduction of gauge theories, spontaneous compactification and model building / Y.A. Kubyshin [and others].Material type: TextSeries: Lecture notes in physics ; 349.Publication details: Berlin ; New York : Springer-Verlag, ©1989. Description: 1 online resource (x, 80 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540468608; 3540468609Subject(s): Gauge fields (Physics) | Quantum field theory | Gauge fields (Physics) | Quantum field theory | Champs de jauge (Physique) | Champs, théorie quantique desGenre/Form: Electronic books. Additional physical formats: Print version:: Dimensional reduction of gauge theories, spontaneous compactification and model building.DDC classification: 530.1/435 LOC classification: QC793.3.F5 | D56 1989Online resources: Click here to access online
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Includes bibliographical references (pages 74-79).
This monograph presents in detail the reduction method for studying the unification of fundamental actions. The mathematical (differential geometrical) methods make extensive use of Lie Groups and the concept of homogeneous spaces. The main topic of the book is the dimensional reduction of pure Yang-Mills theories. A rather complete analysis of the structure of the scalar field potential is given and a general procedure for solving the equations of spontaneous compactification within Einstein-Yang-Mills systems is presented. The authors also discuss gravity and theories with fermions included and they review attempts to construct realistic models. The book presents the basic ideas and the calculations in detail and should be of interest to researchers and graduate students in mathematical physics.
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Dimensional reduction of pure Yang-mills theories -- Dimensional reduction of gravity and spontaneous compactification -- Dimensional reduction of matter fields and model building.