A complex bumblebee model is formulated with gauge and longitudinal couplings; one-loop RG functions are derived and the leading-log effective potential indicates possible dynamical Lorentz violation.
Dynamical Lorentz and CPT symmetry breaking in a 4D four-fermion model
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abstract
In a 4D chiral Thirring model we analyse the possibility that radiative corrections may produce spontaneous breaking of Lorentz and CPT symmetry. By studying the effective potential, we verified that the chiral current $\bar\psi\gamma^{\mu} \gamma_5 \psi$ may assume a nonzero vacuum expectation value which triggers the Lorentz and CPT violations. Furthermore, by making fluctuations on the minimum of the potential we dynamically induce a bumblebee like model containing a Chern-Simons term.
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Complex bumblebee model
A complex bumblebee model is formulated with gauge and longitudinal couplings; one-loop RG functions are derived and the leading-log effective potential indicates possible dynamical Lorentz violation.