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

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arxiv hep-th/9610191 v4 pith:PHKWP2E7 submitted 1996-10-24 hep-th

Martin Reuter , Michael G. Schmidt , Christian Schubert This is my paper · ORCID
classification hep-th
keywords externalconstantlooppathworldlineapproacheffectivefield
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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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  1. Worldline representation of multiloop amplitudes in quantum electrodynamics

    hep-th 2026-07 conditional novelty 5.0 of 10

    Worldline master integrals combine whole classes of QED Feynman diagrams and yield new coefficients for the two-loop scalar QED vacuum polarization.

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