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The Three-Loop Free Energy for High-Temperature QED and QCD with Fermions

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arxiv hep-ph/9410360 v1 pith:3V23FM7C submitted 1994-10-24 hep-ph

The Three-Loop Free Energy for High-Temperature QED and QCD with Fermions

classification hep-ph
keywords energyfreecomputefermionsgaugethree-loopanalyticallychemical
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute the free energy density for gauge theories, with fermions, at high temperature and zero chemical potential. Specifically, we analytically compute the free energy through $O(g^4)$, which requires the evaluation of three-loop diagrams. This computation extends our previous result for pure gauge QCD.

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Cited by 2 Pith papers

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    SIRENA automates IBP reduction of sum-integrals in finite-temperature QFT, reproduces known results to 3 loops, supplies new 3-loop fermionic reductions, and derives an analytic factorization formula for arbitrary 2-l...

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    Three-loop thermal masses and two-loop quartic couplings complete the O(g^6) high-temperature EFT of U(1) and SU(N) gauge-Higgs models, with a missing contribution identified in a known three-loop master integral.