Lorentz Symmetry Breaking-Classical and Quantum Aspects

This book provides a comprehensive review of Lorentz symmetry breaking, covering classical and quantum aspects, non-commutative field theories, supersymmetric theories, and experimental studies. It discusses motivations, models, quantum corrections, correspondence, and the implications for understanding the universe.

Format: Paperback / softback
Length: 110 pages
Publication date: 10 January 2023
Publisher: Springer International Publishing AG

This book delves into a comprehensive examination of diverse aspects related to Lorentz symmetry breaking. Specifically, it explores (i) the motivations behind introducing Lorentz symmetry breaking, (ii) classical aspects of Lorentz-breaking field theory models, encompassing typical forms of Lorentz-breaking additive terms, wave propagation in Lorentz-breaking theories, and mechanisms for breaking the Lorentz symmetry, (iii) quantum corrections in Lorentz-breaking theories, particularly the possibilities for perturbation generating the most intriguing Lorentz-breaking terms, (iv) correspondence between non-commutative field theories and Lorentz symmetry breaking, (v) supersymmetric Lorentz-breaking theories, and (vi) Lorentz symmetry breaking in a curved space-time. To conclude, the book provides a review of experimental studies of Lorentz symmetry breaking, highlighting the significance and relevance of these topics.

Explicitly, we consider (i) motivations for introducing Lorentz symmetry breaking, (ii) classical aspects of Lorentz-breaking field theory models including typical forms of Lorentz-breaking additive terms, wave propagation in Lorentz-breaking theories, and mechanisms for breaking the Lorentz symmetry; (iii) quantum corrections in Lorentz-breaking theories, especially the possibilities for perturbation generating the most interesting Lorentz-breaking terms; (iv) correspondence between non-commutative field theories and Lorentz symmetry breaking; (v) supersymmetric Lorentz-breaking theories; and (vi) Lorentz symmetry breaking in a curved space-time.

We close the book with the review of experimental studies of Lorentz symmetry breaking.

The importance and relevance of these topics are explained, first, by studies of limits of applicability of the Lorentz symmetry, second, by searches of the possible extensions of the standard model, including the Lorentz-breaking ones, and the need to study their properties, third, by the relation between Lorentz symmetry breaking with string theory, fourth, by the problem of formulating a consistent quantum gravity theory, so that various modified gravity models are to be examined.

Weight: 197g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031201196
Edition number: 1st ed. 2022