Chiral QED in Terms of Chiral Boson with a Generalized Fadeevian Regularization

TL;DR

This paper explores a chiral QED model with a generalized Fadeevian regularization, revealing a Lorentz-invariant spectrum where chiral fermions vanish and photons acquire mass, despite broken manifest Lorentz covariance.

Contribution

It constructs a gauged Floranini-Jackiw Lagrangian with a chiral constraint, analyzing its phase space and Lorentz invariance, and shows significant spectral changes including massive photons.

Findings

Chiral fermions disappear from the spectrum.

Photon acquires mass in the model.

Lorentz invariance is maintained despite broken covariance.

Abstract

Chiral QED with a generalized Fadeevian regularization is considered. Imposing a chiral constraint a gauged version of Floranini-Jackiw lagrangian is constructed. The imposition of the chiral constarint has spoiled t he manifestly Lorentz covariance of the theory. The phase space structure for this theory has been det ermined. It is found that spectrum changes drastically but it is Lorentz invariant. Chiral fermion di sappears from the spectra and the photon anquire mass as well. Poincare algebra has been calculated to show physicial Lorentz invariance explicitely.