Dynamical Lorentz and CPT symmetry breaking in a 4D four-fermion model

Details Dynamical Lorentz and CPT symmetry breaking in a 4D four-fermion model Dynamical Lorentz and CPT symmetry breaking in a 4D four-fermion model

2007-09-18

arxiv.org/abs/0709.2904v2

Phys.Rev.D77:105002,2008

Physics

High Energy Physics

High Energy Physics - Theory

Small modifications in the text and new references added, 12 pages, 4 figures, revtex4. To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.77.105002

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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