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.
Physical Review D
American Physical Society
College Park, MD
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© 2010 American Physical Society. This article is also available from the publisher at https://doi.org/10.1103/PhysRevD.81.065028
Scholarly Commons Citation
Altschul, B., Bailey, Q. G., & Kostelecký, V. A. (2010). Lorentz Violation with an Antisymmetric Tensor. Physical Review D, 81(6). https://doi.org/10.1103/PhysRevD.81.065028