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

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arxiv 0812.0008 v1 pith:JKVXOMDH submitted 2008-12-01 hep-th

classification hep-th
keywords worldlineeffectivetwo-loopactionformalismgeneralizationmultiloopprocedure
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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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Cited by 1 Pith paper

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  1. Deeply inelastic scattering structure functions on a hybrid quantum computer

    hep-th 2019-08 conditional novelty 6.0 of 10

    A worldline representation of the QCD quark determinant is used to write a quantum circuit that computes F2 in a small-x dipole model, with a road map for generalizing to real-time DIS.

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