Deformations of Spacetime Symmetries: Gravity, Group-Valued Momenta, and Non-Commutative Fields - Lecture Notes in Physics - Michele Arzano - Books - Springer-Verlag Berlin and Heidelberg Gm - 9783662630952 - June 15, 2021
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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.

Media Books     Paperback Book   (Book with soft cover and glued back)
Released June 15, 2021
ISBN13 9783662630952
Publishers Springer-Verlag Berlin and Heidelberg Gm
Pages 192
Dimensions 234 × 155 × 14 mm   ·   324 g
Language German  

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