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A New Dimensionally Reduced Effective Action for QCD at High Temperature
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New terms are derived for the three-dimensional effective action of the static modes of pure gauge SU(N) at high temperature. In previous works, effective vertices have been obtained by evaluating diagrams involving 2, 3 or 4 external static gluons with one internal nonstatic loop. I take a somewhat different approach by making a covariant derivative expansion of the one loop effective action for the static modes, keeping all terms involving up to six covariant derivatives. The resulting effective action is manifestly invariant under spatially dependent gauge transformations and contains new 5- and 6-point effective vertices.
Forward citations
Cited by 2 Pith papers
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Matching higher-dimensional operators at finite temperature for general models
The authors automate matching of generic 3D dimension-five and -six operators for arbitrary models, implemented in an extension of DRalgo with public code and examples for scalar-Yukawa, hot QCD, and the full Standard Model.
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Higher-dimensional operators and Polyakov loop in hot Scalar QED from the heat kernel
Computes dimension-six operators in finite-temperature massive scalar QED via heat kernel methods and evaluates their combined effect with the Polyakov loop on first-order phase transition thermodynamics.
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