The sphaleron rate from Euclidean lattice correlators: an exploration

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 $1.5T_c$ 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.

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• Topological susceptibility of $2d{\mathrm{CP}}^1$ or $\mathrm{O}(3)$ non-linear $\sigma$-model: is it divergent or not?
• Lattice QCD noise reduction for bosonic correlators through blocking
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• Gradient Flow: Perturbative and Non-Perturbative Renormalization
• Spectral reconstruction details of a gradient-flowed color-electric correlator
• QCD at high temperature and density: selected highlights
• Shear and bulk viscosities of the gluon plasma across the transition temperature from lattice QCD
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