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GAUGE APPROACH AND QUANTIZATION METHODS IN GRAVITY THEORY

Gauge approach and quantization methods in gravity theory

Language: English
Publish year: 2017
DOI: 10.17513/np.288
Pages: 360
PUBLISHER: «Наука»

V. N. Ponomarev, A. O. Barvinsky, Yu. N. Obukhov 

The book gives an overview of the geometrical gauge approach to the gravity theory and the methods of quantization of the gravitational field. 

Bibliographical reference 

Gauge approach and quantization methods in gravity theory / Ponomarev V. N., Barvinsky A. O., Obukhov Yu. N. ; Nuclear Safety Institute of the Russian Academy of Sciences — М. : Nauka, 2017. — 360 p. : ill. — ISBN 978-5-02-040047-4 (bound). DOI 10.17513/np.288.




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The book gives an overview of the geometrical gauge approach to the gravity theory and the methods of quantization of the gravitational field. Gauge-theoretic formalism (universal principle of the local invariance and the mechanism of spontaneous breaking of the gauge symmetry) forms the basis for the modern understanding of fundamental physical interactions and is successfully confirmed by the experimental discoveries of the gauge bosons and the Higgs particle. The carefully selected material of the book provides a minimal but sufficient mathematical introduction to the methods of the gauge gravitational theory, and gives a concise but exhaustive description of all specific physical consequences. In order to describe the many dramatic changes which took place recently in understanding the concepts, issues and motivations of quantum gravitational physics, a special emphasis is put on a comparison of three different quantization methods of the gravitational field – the covariant approach, the Dirac-Wheeler-DeWitt quantization and the method of Arnowitt-Deser-Misner. The basics of the canonical quantization is explained along with the detailed exposition of the path integral approach, and the introduction to the modern BRST technique is given to demonstrate the consistency of the Arnowitt-Deser-Misner and the Dirac-Wheeler-DeWitt quantization schemes.
The book addresses the physicists who specialize in the gravity theory and the high-energy physics, and it can be recommended to the graduate students and senior undergraduate university students in theoretical physics and mathematics.


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