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arXiv · 0812.0008

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

Jan M. Pawlowski·Michael G. Schmidt·Jian-Hui Zhang
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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.

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Jan M. Pawlowski, Michael G. Schmidt, Jian-Hui Zhang. 2008-12-01. On the Yang-Mills two-loop effective action with wordline methods. https://doi.org/10.1016/j.physletb.2009.05.005

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