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Sphaleron rate of $N_f=2+1$ QCD

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arxiv 2308.01287 v3 pith:O3KB5TVU submitted 2023-08-02 hep-lat hep-ph

classification hep-lathep-ph
keywords ratesphaleronphysicallesssimtopologicaladoptappliedartifacts
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We compute the sphaleron rate of $N_f=2+1$ QCD at the physical point for a range of temperatures $200$ MeV $\lesssim T \lesssim 600$ MeV. We adopt a strategy recently applied in the quenched case, based on the extraction of the rate via a modified version of the Backus-Gilbert method from finite-lattice-spacing and finite-smoothing-radius Euclidean topological charge density correlators. The physical sphaleron rate is finally computed by performing a continuum limit at fixed physical smoothing radius, followed by a zero-smoothing extrapolation. Dynamical fermions were discretized using the staggered formulation, which is known to yield large lattice artifacts for the topological susceptibility. However, we find them to be rather mild for the sphaleron rate.

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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. Real-time topological rate at non-zero momentum in quenched QCD

    hep-lat 2026-08 conditional novelty 6.0 of 10

    A first-principles lattice calculation in quenched QCD extracts the momentum-dependent topological rate and finds approximate linear growth of the on-shell rate with momentum.

  2. 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.

  3. 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.

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