Kubyshin, Y. A.
Dimensional Reduction of Gauge Theories, Spontaneous Compactification and Model Building [electronic resource] / by Y. A. Kubyshin, J. M. Mourão, G. Rudolph, I. P. Volobujev. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1989. - X, 80 p. online resource. - Lecture Notes in Physics, 349 0075-8450 ; . - Lecture Notes in Physics, 349 .
Dimensional reduction of pure Yang-mills theories -- Dimensional reduction of gravity and spontaneous compactification -- Dimensional reduction of matter fields and model building.
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.
9783540468608
10.1007/3-540-51917-3 doi
Physics.
Quantum theory.
Quantum computing.
Relativity (Physics).
Physics.
Quantum Physics.
Quantum Computing, Information and Physics.
Elementary Particles, Quantum Field Theory.
Relativity and Cosmology.
Dimensional Reduction of Gauge Theories, Spontaneous Compactification and Model Building [electronic resource] / by Y. A. Kubyshin, J. M. Mourão, G. Rudolph, I. P. Volobujev. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1989. - X, 80 p. online resource. - Lecture Notes in Physics, 349 0075-8450 ; . - Lecture Notes in Physics, 349 .
Dimensional reduction of pure Yang-mills theories -- Dimensional reduction of gravity and spontaneous compactification -- Dimensional reduction of matter fields and model building.
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.
9783540468608
10.1007/3-540-51917-3 doi
Physics.
Quantum theory.
Quantum computing.
Relativity (Physics).
Physics.
Quantum Physics.
Quantum Computing, Information and Physics.
Elementary Particles, Quantum Field Theory.
Relativity and Cosmology.