Spontaneous Lorentz Symmetry Breaking by Anti-Symmetric Tensor Field

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.

18 pages, Latex file, no figure

References in corpus (6)

• String Theory and Noncommutative Geometry
• Noncommutative Yang-Mills in IIB Matrix Model
• Perturbative analysis on infrared aspects of noncommutative QED on R^4
• Perturbative analysis on infrared and ultraviolet aspects of noncommutative QED on R^4
• Diverse PBGS Patterns and Superbranes
• Nonlinear Realization of Lorentz Symmetry

Cited by in corpus (3)

• Gravitational deflection of light and shadow cast by rotating Kalb-Ramond black holes
• Critical behavior of the (2+1)-dimensional Thirring model
• Spontaneous Breaking of (2+1)-dimensional Lorentz Symmetry by an antisymmetric tensor