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The European Physical Journal C
ISSN: 1434-6044 (printed version)
ISSN: 1434-6052 (electronic version)
Abstract Volume 5 Issue 4 (1998) pp 693-699
DOI 10.1007/s100529800877
theoretical physics:
The structure of the Bern-Kosower integrand for the $N$-gluon amplitude
Christian Schubert (1)(2) (a)
(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.
(a) Supported by Deutsche Forschungsgemeinschaft
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Online publication: October 19, 1998
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