This book presents a review of various issues related to Lorentz symmetry breaking. 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 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.
Author(s): Tiago Mariz, Jose Roberto Nascimento, Albert Petrov
Series: SpringerBriefs in Physics
Publisher: Springer
Year: 2023
Language: English
Pages: 113
City: Cham
Preface
Contents
1 Introduction
References
2 Classical Aspects of the Lorentz Symmetry Breaking
2.1 Review of Most Important LV Extensions of Field Theory Models
2.2 Wave Propagation in LV Theories
2.3 Duality Issues in LV Theories
2.4 Spontaneous Breaking of Lorentz Symmetry
2.5 Conclusions
References
3 Perturbative Generation of LV Terms
3.1 Problem of Ambiguities
3.2 LV Contributions in the Scalar Sector
3.3 Mixed LV Scalar-Vector Contribution
3.4 The Carroll-Field-Jackiw Term
3.4.1 General Situation and Zero Temperature Case
3.4.2 Finite Temperature Case
3.4.3 Non-abelian Generalization
3.5 CPT-Even Term for the Gauge Field
3.6 Higher-Derivative LV Terms
3.7 Divergent Contributions in Gauge and Spinor Sectors of LV QED
3.8 Discussion and Conclusions
References
4 Lorentz Symmetry Breaking and Space-Time Noncommutativity
4.1 Formulations for Noncommutativity
4.2 LV Impacts of the Moyal Product
4.3 Seiberg-Witten Map
4.4 Noncommutative Fields
4.5 Conclusions
References
5 Lorentz Symmetry Breaking and Supersymmetry
5.1 Deformation of the Supersymmetry Algebra
5.2 Lorentz Symmetry Breaking Through Introducing Extra Superfields
5.3 Straightforward Lorentz Symmetry Breaking in a Superfield Action
5.4 Conclusions
References
6 Lorentz and CPT Symmetry Breaking in Gravity
6.1 Motivations for 4D Gravitational Chern-Simons Term
6.2 Perturbative Generation of the Gravitational CS Term
6.3 Problem of Spontaneous Lorentz Symmetry Breaking in Gravity
6.4 Possible LV Terms in Gravity
6.5 Conclusions
References
7 Experimental Studies of the Lorentz Symmetry Breaking
7.1 Non-gravitational Studies
7.2 Gravitational Effects
References
Index
