Field theories with spontaneous Lorentz violation involving an antisymmetric 2-tensor are studied. A general action including nonminimal gravitational couplings is constructed, and features of the Nambu-Goldstone and massive modes are discussed. Minimal models in Minkowski spacetime exhibit dualities with Lorentz-violating vector and scalar theories. The post-Newtonian expansion for nonminimal models in Riemann spacetime involves qualitatively new features, including the absence of an isotropic limit. Certain interactions producing stable Lorentz-violating theories in Minkowski spacetime solve the renormalization-group equations in the tadpole approximation.
Digital Object Identifier (DOI)
Published in Physical Review D, Volume 81, Issue 6, 2010.
©2010 American Physical Society
Altschul, B., Bailey, Q., & Kostelecký, A. (2010). Lorentz violation with an antisymmetric tensor. Physical Review D, 81(6). https://doi.org/10.1103/physrevd.81.065028