Electrodynamics in a Background Chiral Field
High Energy Physics - Theory
2011-12-06 v3 High Energy Physics - Phenomenology
Abstract
We consider the one loop effective action in four dimensional Euclidean space for a background chiral field coupled to a spinor field. It proves possible to find an exact expression for this action if the mass of the spinor vanishes. If does not vanish, one can make a perturbative expansion in powers of the axial field that contributes to the chiral field, while treating the contribution of the vector field exactly when it is a constant. The analogous problem in two dimensions is also discussed.
Keywords
Cite
@article{arxiv.1109.6301,
title = {Electrodynamics in a Background Chiral Field},
author = {F. T. Brandt and D. G. C. McKeon and A. Patrushev},
journal= {arXiv preprint arXiv:1109.6301},
year = {2011}
}
Comments
9 pages, references added, minor corrections, typos fixed, accepted in Mod. Phys. Lett. A