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.

34 pages, 3 figures

References in corpus (3)

• Beta functions and anomalous dimensions up to three loops
• Exact Combinatorics of Bern-Kosower-type Amplitudes for Two-Loop ${\Phi }^3$ Theory
• World-line approach to the Bern-Kosower formalism in two-loop Yang-Mills theory

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