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.
1. Introduction.- 2.Classical aspects of the Lorentz symmetry breaking.-
3. Perturbative generation of Lorentz-violaing terms.-
4. Lorentz symmetry breaking and noncommutativity.-
5. Lorentz symmetry breaking and supersymmetry.-
6. Lorentz and CPT symmetry breaking in gravity.-
7. Experimental studies of the Lorentz symmetry breaking.
Albert Petrov completed his Ph.D. in Theoretical Physics (1997, Tomsk, Russia), and is currently a professor at the Federal University of Paraiba (Joao Pessoa, Brazil). He works in the areas of quantum field theory and gravity and has more than 150 papers published in international scientific journals. His main spheres of scientific interest are supersymmetry, Lorentz symmetry-breaking, and modified gravity.
Jose Roberto Nascimento completed his Ph.D. in Physics (1995, São Paulo, Brazil), and is currently a professor at the Federal University of Paraiba (Joao Pessoa, Brazil). He works in the areas of quantum field theory and gravity and has more than 150 papers published in international scientific journals. His main spheres of scientific interest are Lorentz symmetry breaking and modified gravity.
Tiago Mariz completed his Ph.D. in Physics (2007, Joao Pessoa, Brazil), and is currently a professor at the Federal University of Alagoas (Maceió, Brazil). He works in the areas of quantum field theory and gravity and has more than 50 papers published in international scientific journals. His main spheres of scientific interest are noncommutative field theory and Lorentz symmetry breaking, and modified gravity.
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