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

2608.12066Aug 12, 202617 pages, 13 figures

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

Claudio Bonanno, Massimo D'Elia, Roberto Dionisio, Giuseppe Gagliardi, Andrea Giorgieri, Francesco Sanfilippo, Alessandra Valentino, Giovanni Villadoro

Lattice Phenomenology Theory

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Abstract

We present a proof-of-concept numerical study of the real-time topological rate at non-zero momentum in quenched lattice QCD at a temperature $T\simeq 1.24 \, T_c \simeq 360$ MeV, as an important step toward the determination of this quantity in full QCD. Our strategy, already applied to compute the sphaleron rate in pure Yang--Mills and in full QCD, extracts the rate from the resolution of an appropriate inverse problem, solved applying the Hansen--Lupo--Tantalo (HLT) method to the thermal Euclidean time-correlator of the topological charge density. This method requires to control three different limits: continuum limit, limit of vanishing smearing width used in the HLT inverse problem resolution, and limit of vanishing smoothing radius used in the topological charge density correlator computation. Our lattice calculation is based on the standard Wilson discretization for the gauge action, and on three gauge ensembles with up to $N_τ=16$

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We present a proof-of-concept numerical study of the real-time topological rate at non-zero momentum in quenched lattice QCD at a temperature T≃ 1.24 T_c ≃ 360 MeV, as an important step toward the determination of this quantity in full QCD. Our strategy, already applied to compute the sphaleron rate in pure Yang--Mills and in full QCD, extracts the rate from the resolution of an appropriate inverse problem, solved applying the Hansen--Lupo--Tantalo (HLT) method to the thermal Euclidean time-correlator of the topological charge density.

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The paper addresses: Real-time topological rate at non-zero momentum in quenched QCD.
We present a proof-of-concept numerical study of the real-time topological rate at non-zero momentum in quenched lattice QCD at a temperature T≃ 1.24 T_c ≃ 360 MeV, as an important step toward the determination of this quantity in full QCD.