Two-loop Yang-Mills theory in the world-line formalism and an Euler-Heisenberg type action

Abstract

Within the framework of the world-line formalism we write down in detail a two-loop Euler-Heisenberg type action for gluon loops in Yang-Mills theory and discuss its divergence structure. We exactly perform all the world-line moduli integrals at two loops by inserting a mass parameter, and then extract divergent coefficients to be renormalized.

arXiv comment34 pages, 3 figures

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• New Techniques for Worldline Integration
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• Two-Loop Diagrammatics in a Self-Dual Background
• On the Yang-Mills two-loop effective action with wordline methods
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• A space-time approach to multigluon computations in QCD: An application to effective action terms
• A numerical algorithm for efficiently obtaining a Feynman parameter representation of one-gluon loop QCD Feynman diagrams for a large number of external gluons
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