The one-loop effective action of a minimally coupled fermion-gauge system with an axial Lorentz-violating term is shown to reproduce the non-Abelian aether term, with finite triple and quartic vertices.
On the induction of the four-dimensional Lorentz-breaking non-Abelian Chern-Simons action
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abstract
A four-dimensional Lorentz-breaking non-Abelian Chern-Simons like action is generated as a one-loop perturbative correction via an appropriate Lorentz-breaking coupling of the non-Abelian gauge field to the spinor field. This term is shown to be regularization dependent but nevertheless it can be found unambiguously in different regularization schemes at zero and finite temperature.
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Non-Abelian aether-like term in four dimensions
The one-loop effective action of a minimally coupled fermion-gauge system with an axial Lorentz-violating term is shown to reproduce the non-Abelian aether term, with finite triple and quartic vertices.