Deformations of Spacetime Symmetries - Gravity, Group-Valued Momenta, and Non-Commutative Fields (Paperback, 1st ed. 2021)

This monograph provides an introduction to deformations of Poincare 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 Poincare 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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Physics, 986
Release date:	June 2021
First published:	2021
Authors:	Michele Arzano • Jerzy Kowalski-Glikman
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	192
Edition:	1st ed. 2021
ISBN-13:	978-3-662-63095-2
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Science & Mathematics > Physics > Classical mechanics > General Books > Science & Mathematics > Physics > Relativity physics > General Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	3-662-63095-8
Barcode:	9783662630952

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