Chiral tensor fields and spontaneous breaking of Lorentz symmetry

Details Chiral tensor fields and spontaneous breaking of Lorentz symmetry Chiral tensor fields and spontaneous breaking of Lorentz symmetry

2007-12-20

arxiv.org/abs/0712.3405v1

Int.J.Mod.Phys.A23:4345-4359,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 4 figures

Scientific paper

10.1142/S0217751X08041347

Antisymmetric tensor fields interacting with quarks and leptons have been proposed as a possible solution to the gauge hierarchy problem. We compute the one-loop beta function for a quartic self-interaction of the chiral antisymmetric tensor fields. Fluctuations of the top quark drive the corresponding running coupling to a negative value as the renormalization scale is lowered. This may indicate a non-vanishing expectation value of the tensor field, and thus a spontaneous breaking of Lorentz invariance. Settling this issue will need the inclusion of tensor loops.

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