Hamiltonian Analysis of an On-shell U(1) Gauge Field Theory
Classical Physics
2017-09-25 v2 High Energy Physics - Theory
Abstract
We perform the Hamiltonian analysis of an on-shell U(1) gauge field theory, in which the action is not invariant under local U(1) transformations but recovers the invariance when the equations of motion are imposed. We firstly apply Dirac's method of Hamiltonian analysis. We find one first-class constraint and two second-class constraints in the vector sector. It implies the photons have only two polarisations, at least at the classical level, although the standard U(1) symmetry is explicitly broken. The reduced Hamiltonian is bounded from below and the on-shell U(1) gauge field theory is free from ghosts at the classical level.
Keywords
Cite
@article{arxiv.1610.06087,
title = {Hamiltonian Analysis of an On-shell U(1) Gauge Field Theory},
author = {Chunshan Lin and Misao Sasaki},
journal= {arXiv preprint arXiv:1610.06087},
year = {2017}
}
Comments
9 pages, no figure. V2: published version