The Feynman-Schwinger (world-line) representation in perturbative QCD

preprint2002arXivOpen access

Abstract

The proper time path integral representation is derived explicitly for an arbitrary nn-point amplitude in QCD. In the standard perturbation theory the formalism allows to sum up the leading subseries, e.g. yielding double-logarithm Sudakov asymptotics for form factors. Correspondence with the standard perturbation theory is established and connection to the Bern-Kosower-Strassler method is illustrated.

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