Overview
- First monograph at introductory level on Poincaré symmetries
- Presents clearly the linking between gravity and deformed symmetries
- Illustrates basic aspects of classical and quantum field theories on k-Minkowski non-commutative space
Part of the book series: Lecture Notes in Physics (LNP, volume 986)
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Table of contents (7 chapters)
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Front Matter
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From Gravity to Curved Momentum Space and Non-commutative Spacetime
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Front Matter
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Deformed Particles and Their Symmetries
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Front Matter
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An Introduction to $$ \kappa $$ κ -Deformed Fields
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Front Matter
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An Introduction to κ-Deformed Fields
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Back Matter
Keywords
About this book
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 κ-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.
Reviews
Authors and Affiliations
About the authors
Michele Arzano is a researcher in theoretical physics at the University of Naples “Federico II”. He obtained his PhD from the University of North Carolina at Chapel Hill and has held positions at the Perimeter Institute for Theoretical Physics in Canada, at the Institute for Theoretical Physics at Utrecht University in the Netherlands and at “Sapienza” University of Rome in Italy. His research interests over the years have ranged from non-commutative field theory and deformed symmetries to quantum effects in curved spacetimes and black hole thermodynamics. More recently he has contributed to research on asymptotic symmetries in general relativity and conformal quantum mechanics.
Jerzy Kowalski-Glikman is a professor at the Institute of Theoretical Physics of the University of Wroclaw and at National Centre for Nuclear Research in Warsaw. He got his PhD in 1985 from the University of Warsaw and habilitation in 1994 from the University of Wroclaw and full professorship in 2002. His research interests include quantum gravity and quantum gravity phenomenology, non-commutative field theories, cosmology, and string theory. He is author of more than hundred research papers published on international peer reviewed journals.
Bibliographic Information
Book Title: Deformations of Spacetime Symmetries
Book Subtitle: Gravity, Group-Valued Momenta, and Non-Commutative Fields
Authors: Michele Arzano, Jerzy Kowalski-Glikman
Series Title: Lecture Notes in Physics
DOI: https://doi.org/10.1007/978-3-662-63097-6
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag GmbH Germany, part of Springer Nature 2021
Softcover ISBN: 978-3-662-63095-2Published: 15 June 2021
eBook ISBN: 978-3-662-63097-6Published: 14 June 2021
Series ISSN: 0075-8450
Series E-ISSN: 1616-6361
Edition Number: 1
Number of Pages: XIII, 192
Number of Illustrations: 2 b/w illustrations, 8 illustrations in colour
Topics: Classical and Quantum Gravitation, Relativity Theory, Elementary Particles, Quantum Field Theory, Mathematical Methods in Physics, Mathematical Physics