Nonlinear Realization of Lorentz Symmetry

TL;DR

This paper investigates a nonlinear approach to Lorentz symmetry in (2+1) dimensions, deriving an effective action for Nambu-Goldstone bosons resulting from spontaneous symmetry breaking.

Contribution

It introduces a novel nonlinear realization framework for Lorentz symmetry with a constant tensor vacuum expectation value, leading to a new effective action for Nambu-Goldstone bosons.

Findings

Derived the low-energy effective action for Nambu-Goldstone bosons.

Established a nonlinear realization of Lorentz symmetry with a tensor VEV.

Provided insights into spontaneous Lorentz symmetry breaking in (2+1) dimensions.

Abstract

We explore a nonlinear realization of the (2+1)-dimensional Lorentz symmetry with a constant vacuum expectation value of the second rank anti-symmetric tensor field. By means of the nonlinear realization, we obtain the low-energy effective action of the Nambu-Goldstone bosons for the spontaneous Lorentz symmetry breaking.