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The sphaleron rate from Euclidean lattice correlators: an exploration
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abstract
We show how the sphaleron rate (the Minkowski rate for topological charge diffusion) can be determined by analytical continuation of the Euclidean topological-charge-density two-point function, which we investigate on the lattice, using gradient flow to reduce noise and provide improved operators which more accurately measure topology. We measure the correlators on large, fine lattices in the quenched approximation at $1.5\,T_c$ with high precision. Based on these data we first perform a continuum extrapolation at fixed physical flow time and then extrapolate the continuum estimates to zero flow time. The extrapolated correlators are then used to study the sphaleron rate by spectral reconstruction based on perturbatively motivated models.
Forward citations
Cited by 3 Pith papers
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An Effective Sphaleron Awakens
A consistent 3D EFT computation of the Higgs phase sphaleron rate yields universal baryon preservation bounds x ≈ 0.025 (strong) and x ≈ 0.036 (weak), and shows two-loop corrections eliminate strong one-step transitio...
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Real-time topological rate at non-zero momentum in quenched QCD
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.
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Electroweak Baryogenesis: Advances in Sphaleron Rate Calculations and Implications of Thermal Phase Transitions
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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