Constant External Fields in Gauge Theory and the Spin 0, 12, 1 Path Integrals

✍ Scribed by Martin Reuter; Michael G. Schmidt; Christian Schubert

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 586 KB
• Volume: 259
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1997.5716

✦ Synopsis

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.