Constant External Fields in Gauge Theory and the Spin 0, 1/2, 1 Path Integrals
High Energy Physics - Theory
2009-10-30 v4
Abstract
We investigate the usefulness of the "string-inspired technique" for gauge theory calculations in a constant external field background. Our approach is based on Strassler's worldline path integral approach to the Bern-Kosower formalism, and on the construction of worldline (super--) Green's functions incorporating external fields as well as internal propagators. The worldline path integral representation of the gluon loop is reexamined in detail. We calculate the two-loop effective actions induced for a constant external field by a scalar and spinor loop, and the corresponding one-loop effective action in the gluon loop case.
Cite
@article{arxiv.hep-th/9610191,
title = {Constant External Fields in Gauge Theory and the Spin 0, 1/2, 1 Path Integrals},
author = {Martin Reuter and Michael G. Schmidt and Christian Schubert},
journal= {arXiv preprint arXiv:hep-th/9610191},
year = {2009}
}
Comments
54 pages, no figures, Latex, uses dina4.sty, final version (minor corrections)