Lorentz Symmetry Breaking—Classical and Quantum Aspects

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