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

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

1996-10-24

arxiv.org/abs/hep-th/9610191v4

Annals Phys. 259 (1997) 313-365

Physics

High Energy Physics

High Energy Physics - Theory

54 pages, no figures, Latex, uses dina4.sty, final version (minor corrections)

Scientific paper

10.1006/aphy.1997.5716

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.

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