On the Yang-Mills two-loop effective action with worldline 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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Hauptverfasser: Pawlowski, Jan M. (VerfasserIn) , Schmidt, Michael G. (VerfasserIn) , Zhang, Jian-Hui (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 9 May 2009
In: Physics letters
Year: 2009, Jahrgang: 677, Heft: 1, Pages: 100-108
ISSN:1873-2445
DOI:10.1016/j.physletb.2009.05.005
Online-Zugang:Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1016/j.physletb.2009.05.005
Verlag, kostenfrei, Volltext: http://www.sciencedirect.com/science/article/pii/S0370269309005528
Volltext
Verfasserangaben:Jan M. Pawlowski, Michael G. Schmidt, Jian-Hui Zhang

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520 |a 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 β-function is correctly reproduced. This is the first derivation in the worldline formulation, and serves as a non-trivial check on the consistency of the multiloop generalization procedure in the worldline formalism. 
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