Spontaneous Lorentz Violation and Nonpolynomial Interactions
arXiv:hep-th/0509068 · doi:10.1016/j.physletb.2005.09.018
Abstract
Gauge-noninvariant vector field theories with superficially nonrenormalizable nonpolynomial interactions are studied. We show that nontrivial relevant and stable theories have spontaneous Lorentz violation, and we present a large class of asymptotically free theories. The Nambu-Goldstone modes of these theories can be identified with the photon, with potential experimental implications.
10 pages, accepted in Physics Letters B