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

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arxiv hep-ph/0201005 v1 pith:DTLFRFUO submitted 2002-01-02 hep-ph

classification hep-ph
keywords perturbationrepresentationstandardtheoryallowsamplitudearbitraryasymptotics
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The proper time path integral representation is derived explicitly for an arbitrary $n$-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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