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arXiv · hep-th/9812229

World-line approach to the Bern-Kosower formalism in two-loop Yang-Mills theory

Haru-Tada Sato·Michael G. Schmidt
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Abstract

Based on the world-line formalism with a sewing method, we derive the Yang-Mills effective action in a form useful to generate the Bern-Kosower-type master formulae for gluon scattering amplitudes at the two-loop level. It is shown that four-gluon ($Φ^4$ type sewing) contributions can be encapsulated in the action with three-gluon ($Φ^3$ type) vertices only, the total action thus becoming a simple expression. We then derive a general formula for a two-loop Euler-Heisenberg type action in a pseudo-abelian $su(2)$ background. The ghost loop and fermion loop cases are also studied.

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Haru-Tada Sato, Michael G. Schmidt. 1999-06-01. World-line approach to the Bern-Kosower formalism in two-loop Yang-Mills theory. https://doi.org/10.1016/s0550-3213(99)00386-7

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