Dynamical Lorentz symmetry breaking and topological defects

Details Dynamical Lorentz symmetry breaking and topological defects Dynamical Lorentz symmetry breaking and topological defects

2010-08-10

arxiv.org/abs/1008.1810v2

Phys.Rev.D82:125015,2010

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1103/PhysRevD.82.125015

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.

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