Deformations of Spacetime Symmetries: Gravity, Group-Valued Momenta, and Non-Commutative Fields - Lecture Notes in Physics - Michele Arzano - 書籍 - Springer-Verlag Berlin and Heidelberg Gm - 9783662630952 - 2021年6月15日
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Michele Arzano
Deformations of Spacetime Symmetries: Gravity, Group-Valued Momenta, and Non-Commutative Fields - Lecture Notes in Physics 1st ed. 2021 edition

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This monograph provides an introduction to deformations of Poincaré symmetries focusing on models with a Lie group momentum space and associated non-commutative space-times. The emphasis is put on the emergence of such structures from quantum gravity, their mathematical features described in terms of Hopf algebras and applications to particle kinematics and field theory.

Part I of this work focuses on the link between gravity and deformed symmetries in the case of 2+1 and 3+1 space-time dimensions.  Part II is devoted to the description of classical particles with group valued momenta, their phase spaces and kinematics. The last part of these notes provides an introduction to the basic features of classical and quantum field theory on ?-Minkowski space-time, the prototypical example of non-commutative space-time exhibiting deformed Poincaré symmetry.

The text, being the first providing a detailed overview of these topics, is primarily intended for researchers and graduate students interested in non-commutative field theories and quantum gravity phenomenology.

192 pages, 10 Tables, color; 8 Illustrations, color; 2 Illustrations, black and white; XIII, 192 p.

メディア 書籍     Paperback Book   (ソフトカバーで背表紙を接着した本)
リリース済み 2021年6月15日
ISBN13 9783662630952
出版社 Springer-Verlag Berlin and Heidelberg Gm
ページ数 192
寸法 234 × 155 × 14 mm   ·   324 g
言語 ドイツ語  

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