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The Three-Loop Free Energy for Pure Gauge QCD

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arxiv hep-ph/9408276 v1 pith:HH7T2L5S submitted 1994-08-12 hep-ph

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

We compute the free energy density for pure non-Abelian gauge theory at high temperature and zero chemical potential. The three-loop result to $O(g^4)$ is [a lovely formula. Get the paper and print it out.] We examine the sensitivity of this result to the choice of renormalization scale. We also give a result for the free energy of scalar $\phi^4$ theory, correcting a result previously given in the literature.

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Cited by 3 Pith papers

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  1. Warm Inflation with Pseudo-scalar Couplings

    hep-ph 2025-05 unverdicted novelty 7.0 of 10

    Warm inflation models with pseudo-scalar couplings require inclusion of induced chemical potentials that make the thermal friction-fluctuation relation model-dependent rather than universal.

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    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.

  3. Thermal History of Non-equilibrated Scalars

    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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