The Structure of the Bern-Kosower Integrand for the N-Gluon Amplitude

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.

arXiv comment12 pages, no figures, latex, uses dina4.sty

Cited by in corpus (3)

• Two-loop self-dual Euler-Heisenberg Lagrangians (I): Real part and helicity amplitudes
• Color-kinematics duality from the Bern-Kosower formalism
• Manifest colour-kinematics duality and double-copy in the string-based formalism