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Constant external fields in gauge theory and the \(\text{spin}-0, \frac{1}{2}, 1\) path integrals. (English) Zbl 0988.81523
Summary: 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.

MSC:
81T18 Feynman diagrams
81T13 Yang-Mills and other gauge theories in quantum field theory
81T60 Supersymmetric field theories in quantum mechanics
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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