Spontaneous Lorentz Symmetry Breaking by Anti-Symmetric Tensor Field
Kiyoshi Higashijima, Naoto Yokoi
TL;DR
This paper investigates spontaneous Lorentz symmetry breaking in a (2+1)-dimensional gauge theory involving an anti-symmetric tensor and a photon, revealing the NG boson as a massless photon and exploring related amplitudes.
Contribution
It introduces a model inspired by string theory where the NG boson for Lorentz breaking is identified with an unphysical photon, and discusses the effective low-energy action.
Findings
NG boson identified as unphysical massless photon
Analogue of the equivalence theorem established
Low-energy effective action derived
Abstract
We study the spontaneous Lorentz symmetry breaking in a field theoretical model in (2+1)-dimension, inspired by string theory. This model is a gauge theory of an anti-symmetric tensor field and a vector field (photon). The Nambu-Goldstone (NG) boson for the spontaneous Lorentz symmetry breaking is identified with the unphysical massless photon in the covariant quantization. We also discuss an analogue of the equivalence theorem between the amplitudes for emission or absorption of the physical massive anti-symmetric tensor field and those of the unphysical massless photon. The low-energy effective action of the NG-boson is also discussed.
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