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The Sphaleron Rate in SU(N) Gauge Theory

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arxiv 1011.1167 v1 pith:Z6VMFVOP submitted 2010-11-04 hep-ph hep-latnucl-th

classification hep-phhep-latnucl-th
keywords ratesphaleronbehaviorcouplingnumberaxialbaryogenesiscalculate
verification ladder T0 review T1 audit T2 compute T3 formal
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The sphaleron rate is defined as the diffusion constant for topological number NCS = int g^2 F Fdual/32 pi^2. It establishes the rate of equilibration of axial light quark number in QCD and is of interest both in electroweak baryogenesis and possibly in heavy ion collisions. We calculate the weak-coupling behavior of the SU(3) sphaleron rate, as well as making the most sensible extrapolation towards intermediate coupling which we can. We also study the behavior of the sphaleron rate at weak coupling at large Nc.

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Cited by 7 Pith papers

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

  1. Thermal Alignment as a Pathway to Axion Dark Matter

    hep-ph 2026-08 reject novelty 7.0 of 10

    A thermal bath that damps an axion also imprints fluctuations, and this paper derives a covariance bound plus a gauge model in which one transition determines the late axion phase space as dark matter.

  2. Heterotic Warm Inflation

    hep-th 2025-09 conditional novelty 7.0 of 10

    In a heterotic-string-inspired two-field warm inflation model, the axion drives inflation while thermal corrections from gauge fields block sustained dilaton-driven inflation.

  3. Revisiting the sphaleron and axion production rates in QCD at high temperatures

    hep-lat 2026-04 unverdicted novelty 6.0 of 10

    Lattice simulations give sphaleron rates in hot QCD plasmas and show axion production rates deviate from perturbative predictions at high temperatures.

  4. Electroweak Baryogenesis: Advances in Sphaleron Rate Calculations and Implications of Thermal Phase Transitions

    hep-ph 2026-07 conditional novelty 5.0 of 10

    Sphaleron rates can be computed gauge-invariantly in 3D thermal EFT, yielding a new baryon-washout criterion x = lambda3/g3^2 that replaces v_c/T_c > 1 for electroweak baryogenesis.

  5. Energy and momentum dependence of the soft-axion interaction rate

    hep-ph 2026-01 unverdicted novelty 5.0 of 10

    HTL computation of soft axion rates shows interpolation between k=0 and k≈ω, raising ΔN_eff from ~0.03 to ~0.04 for light QCD axions at fa=4×10^8 GeV.

  6. Plasminos in chiral QCD plasma

    hep-ph 2025-09 reject novelty 5.0 of 10

    The paper claims left and right handed quark quasiparticles and plasminos split with masses M ± δM in a chiral plasma, but the splitting is not supported by its own pole equations.

  7. Collective phenomena in chirally imbalanced medium

    hep-ph 2025-06 conditional novelty 5.0 of 10

    Chirally imbalanced quark-gluon plasma splits transverse gluon modes into circular polarizations, adds instabilities, and makes quarkonium melt faster via a larger Debye mass and decay width.

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