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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Bibliographic Information

Book Title: Dimensional Reduction of Gauge Theories, Spontaneous Compactification and Model Building
Authors: Y. A. Kubyshin, J. M. Mourão, G. Rudolph, I. P. Volobujev
Series Title: Lecture Notes in Physics
DOI: https://doi.org/10.1007/3-540-51917-3
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1989
Softcover ISBN: 978-3-662-13753-6Published: 23 August 2014
eBook ISBN: 978-3-540-46860-8Published: 02 July 2005
Series ISSN: 0075-8450
Series E-ISSN: 1616-6361
Edition Number: 1
Number of Pages: X, 80
Topics: Quantum Physics, Quantum Information Technology, Spintronics, Elementary Particles, Quantum Field Theory, Classical and Quantum Gravitation, Relativity Theory

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Table of contents (4 chapters)

Front Matter

Introduction

Dimensional reduction of pure Yang-mills theories

Dimensional reduction of gravity and spontaneous compactification

Dimensional reduction of matter fields and model building

Back Matter

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