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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

Peter Arnold , Chengxing Zhai This is my paper · ORCID
classification hep-ph
keywords energyfreecomputefermionsgaugethree-loopanalyticallychemical
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Hard thermal contributions to phase transition observables at NNLO

    hep-ph 2026-02 conditional novelty 6.0 of 10

    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.

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    hep-ph 2025-07 conditional novelty 6.0 of 10

    A non-equilibrated scalar controlling a quartic coupling makes the coupling smaller at high temperature, strengthening the first-order dark Higgs phase transition.

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    hep-ph 2025-02 conditional novelty 6.0 of 10

    Hyperlight quadratically coupled scalars making up a few percent of dark matter are bounded to near- or sub-gravitational couplings to electrons and photons over 10^-31 to 10^-28 eV, with quasar spectra setting the st...

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