Sphaleron rate of $N_f=2+1$ QCD

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Main Authors: Bonanno, Claudio, D'Angelo, Francesco, D'Elia, Massimo, Maio, Lorenzo, Naviglio, Manuel
Format: Preprint
Published: 2023
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_version_ 1866914646534914048
author Bonanno, Claudio
D'Angelo, Francesco
D'Elia, Massimo
Maio, Lorenzo
Naviglio, Manuel
author_facet Bonanno, Claudio
D'Angelo, Francesco
D'Elia, Massimo
Maio, Lorenzo
Naviglio, Manuel
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2308_01287
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Sphaleron rate of $N_f=2+1$ QCD
Bonanno, Claudio
D'Angelo, Francesco
D'Elia, Massimo
Maio, Lorenzo
Naviglio, Manuel
High Energy Physics - Lattice
High Energy Physics - Phenomenology
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.
title Sphaleron rate of $N_f=2+1$ QCD
topic High Energy Physics - Lattice
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2308.01287