DOI 10.1007/s100529800877
The structure of the Bern-Kosower integrand
for the N-gluon amplitude
1 High Energy Physics Division, Argonne National Laboratory, Argonne, IL 60439-4815, USA
2 Institut für Physik, Humboldt Universität zu Berlin, Invalidenstr. 110, D-10115 Berlin,
Germany
(e-mail: schubert@qft2.physik.hu-berlin.de)
Received: 2 November 1997 / Published online: 24 March 1998
Abstract
An ambiguity inherent in the partial integration procedure
leading to the Bern-Kosower rules is fixed in a way which
preserves the complete permutation symmetry in the
scattering states. This leads to a canonical version
of the Bern-Kosower representation for the one-loop
N-photon/gluon amplitudes, and to a natural
decomposition of those amplitudes into permutation
symmetric gauge invariant partial amplitudes.
This decomposition exhibits a simple recursive
structure.
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