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

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 term...

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Bibliographic Details
Main Authors: Pawlowski, Jan M. (Author) , Schmidt, Michael G. (Author) , Zhang, Jian-Hui (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 2009
In: Arxiv

Online Access:Verlag, kostenfrei, Volltext: http://arxiv.org/abs/0812.0008
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Author Notes:Jan M. Pawlowski, Michael G. Schmidt, and Jian-Hui Zhang
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Summary: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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