Lorentz Symmetry Breaking―Classical and Quantum Aspects: Classical and Quantum Aspects (SpringerBriefs in Physics)

1 Introduction
2 Classical aspects
	2.1 Review of LV extensions
	2.2 Wave propagation in LV theories
	2.3 Duality issues in LV theories
	2.4 Spontaneous breaking of Lorentz symmetry
	2.5 Conclusions
3 Perturbative generation
	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
4 Lorentz symmetry breaking and 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
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 breaking
	5.4 Conclusions
6 Lorentz and CPT symmetry breaking in gravity
	6.1 Motivations for 4D gravitational CS 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
7 Experimental studies
	7.1 Non-gravitational studies
	7.2 Gravitational effects