On the Yang-Mills two-loop effective action with wordline methods

Abstract

We derive the two-loop effective action for covariantly constant field strength of pure Yang-Mills theory in the presence of an infrared scale. The computation is done in the framework of the worldline formalism, based on a generalization procedure of constructing multiloop effective actions in terms of the bosonic worldline path integral. The two-loop beta-function is correctly reproduced. This is the first derivation in the worldline formulation, and serves as a nontrivial check on the consistency of the multiloop generalization procedure in the worldline formalism.

8 pages, 4 figures

References in corpus (3)

• Aspects of the Functional Renormalisation Group
• Worldgraph Approach to Yang-Mills Amplitudes from N=2 Spinning Particle
• "Background Field Integration-by-Parts" and the Connection Between One-Loop and Two-Loop Heisenberg-Euler Effective Actions

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