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arXiv · 0712.3405

Chiral tensor fields and spontaneous breaking of Lorentz symmetry

Jan-Markus Schwindt·Christof Wetterich
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Abstract

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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Jan-Markus Schwindt, Christof Wetterich. 2007-12-20. Chiral tensor fields and spontaneous breaking of Lorentz symmetry. https://doi.org/10.1142/s0217751x08041347

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