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Sphaleron rate from a modified Backus-Gilbert inversion method

2023/05/26 by Claudio Bonanno, Bonanno, Claudio, Francesco D’Angelo +7 · 3 citations
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2305.17120

openalex publication_date 2023/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We compute the sphaleron rate in quenched QCD for a temperature T ≃ 1.24~Tc from the inversion of the Euclidean lattice time correlator of the topological charge density. We explore and compare two different strategies: one follows a new approach proposed in this study and consists in extracting the rate from finite lattice spacing correlators, and then in taking the continuum limit at fixed smoothing radius followed by a zero-smoothing extrapolation; the other follows the traditional approach of extracting the rate after performing such double extrapolation directly on the correlator. In both cases the rate is obtained from a recently-proposed modification of the standard Backus-Gilbert procedure. The two strategies lead to compatible estimates within errors, which are then compared to previous results in the literature at the same or similar temperatures; the new strategy permits to obtain improved results, in terms of statistical and systematic uncertainties.

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