Constant External Fields in Gauge Theory and the Spin 0, 1/2, 1 Path Integrals

Preprint

7 October 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9610191

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.

Keywords

CONSTANT EXTERNAL FIELD
INTEGRAL REPRESENTATION
EXTERNAL FIELD
WORLDLINE PATH
PATH INTEGRAL
GAUGE THEORY
GLUON

All Related Versions

Version 1, 1996-10-24, ArXiv
Version 2, 1996-10-25, ArXiv
Version 3, 1997-04-20, ArXiv
Version 4, 1997-10-07, ArXiv
Published version: Annals of Physics, 259 (2), 313.

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