Dynamical Lorentz symmetry breaking and topological defects

Abstract

I discuss the possibility of topological defect solutions in field theories containing a tensor field which spontaneously breaks Lorentz symmetry. I find that for theories of a tensor with rank r <= 5 and for which the vacuum manifold consists of the tensors whose "square" is some constant value, only three types of tensor (vectors, antisymmetric two-tensors, and symmetric two-tensors) have the appropriate vacuum manifold topology to support topological defects. Of these, topological defect solutions can be easily constructed for two: vector domain wall solutions and antisymmetric tensor monopole solutions. These antisymmetric tensor monopole solutions are in principle detectible via their gravitational lensing effects.

19 pages, 2 figures, 1 table. v2: added references

References in corpus (7)

• Lorentz-Violating Extension of the Standard Model
• Gravity, Lorentz Violation, and the Standard Model
• Lorentz violation with an antisymmetric tensor
• Global topological k-defects
• The gravitational field of a global monopole
• A monopole solution in a Lorentz-violating field theory
• Vector-Field Domain Walls

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• Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model
• Aspects of a planar nonbirefringent and CPT-even electrodynamics stemming from the Standard Model Extension
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• Lorentz violation in a uniform newtonian gravitational field
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• Quantum aspects of antisymmetric tensor field with spontaneous Lorentz violation
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• Standard Model with Partial Gauge Invariance
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• Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma model
• A note on vortices from Lorentz-violating models
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• On the quantum equivalence of an antisymmetric tensor field with spontaneous Lorentz violation
• Testing Lorentz symmetry with atoms and Light
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• Covariant Quantum Gravitational Corrections to Scalar and Tensor Field Models