TY - BOOK AU - Kubyshin,Y.A. AU - MourĂ£o,J.M. AU - Rudolph,G. AU - Volobujev,I.P. ED - SpringerLink (Online service) TI - Dimensional Reduction of Gauge Theories, Spontaneous Compactification and Model Building T2 - Lecture Notes in Physics, SN - 9783540468608 PY - 1989/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Physics KW - Quantum theory KW - Quantum computing KW - Relativity (Physics) KW - Quantum Physics KW - Quantum Computing, Information and Physics KW - Elementary Particles, Quantum Field Theory KW - Relativity and Cosmology N1 - Dimensional reduction of pure Yang-mills theories -- Dimensional reduction of gravity and spontaneous compactification -- Dimensional reduction of matter fields and model building N2 - 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 UR - http://dx.doi.org/10.1007/3-540-51917-3 ER -