The topological susceptibility slope χ ′ of the pure-gauge SU(3) Yang-Mills theory

Abstract We determine the pure-gauge SU(3) topological susceptibility slope χ ′ , related to the next-to-leading-order term of the momentum expansion of the topological charge density 2-point correlator, from numerical lattice Monte Carlo simulations. Our strategy consists in performing a double-lim...

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Main Author: Claudio Bonanno
Format: Article
Language:English
Published: SpringerOpen 2024-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2024)116
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author Claudio Bonanno
author_facet Claudio Bonanno
author_sort Claudio Bonanno
collection DOAJ
description Abstract We determine the pure-gauge SU(3) topological susceptibility slope χ ′ , related to the next-to-leading-order term of the momentum expansion of the topological charge density 2-point correlator, from numerical lattice Monte Carlo simulations. Our strategy consists in performing a double-limit extrapolation: first we take the continuum limit at fixed smoothing radius, then we take the zero-smoothing-radius limit. Our final result is χ ′ = [17.1(2.1) MeV]2. We also discuss a theoretical argument to predict its value in the large-N limit, which turns out to be remarkably close to the obtained N = 3 lattice result.
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spelling doaj.art-c5cce92b5c4a4d368f6fa9e7fbeaefc52024-01-28T12:25:18ZengSpringerOpenJournal of High Energy Physics1029-84792024-01-012024112010.1007/JHEP01(2024)116The topological susceptibility slope χ ′ of the pure-gauge SU(3) Yang-Mills theoryClaudio Bonanno0Instituto de Física Teórica UAM-CSIC, c/ Nicolás Cabrera 13-15, Universidad Autónoma de MadridAbstract We determine the pure-gauge SU(3) topological susceptibility slope χ ′ , related to the next-to-leading-order term of the momentum expansion of the topological charge density 2-point correlator, from numerical lattice Monte Carlo simulations. Our strategy consists in performing a double-limit extrapolation: first we take the continuum limit at fixed smoothing radius, then we take the zero-smoothing-radius limit. Our final result is χ ′ = [17.1(2.1) MeV]2. We also discuss a theoretical argument to predict its value in the large-N limit, which turns out to be remarkably close to the obtained N = 3 lattice result.https://doi.org/10.1007/JHEP01(2024)116Lattice QCDVacuum Structure and Confinement1/N Expansion
spellingShingle Claudio Bonanno
The topological susceptibility slope χ ′ of the pure-gauge SU(3) Yang-Mills theory
Journal of High Energy Physics
Lattice QCD
Vacuum Structure and Confinement
1/N Expansion
title The topological susceptibility slope χ ′ of the pure-gauge SU(3) Yang-Mills theory
title_full The topological susceptibility slope χ ′ of the pure-gauge SU(3) Yang-Mills theory
title_fullStr The topological susceptibility slope χ ′ of the pure-gauge SU(3) Yang-Mills theory
title_full_unstemmed The topological susceptibility slope χ ′ of the pure-gauge SU(3) Yang-Mills theory
title_short The topological susceptibility slope χ ′ of the pure-gauge SU(3) Yang-Mills theory
title_sort topological susceptibility slope χ of the pure gauge su 3 yang mills theory
topic Lattice QCD
Vacuum Structure and Confinement
1/N Expansion
url https://doi.org/10.1007/JHEP01(2024)116
work_keys_str_mv AT claudiobonanno thetopologicalsusceptibilityslopechofthepuregaugesu3yangmillstheory
AT claudiobonanno topologicalsusceptibilityslopechofthepuregaugesu3yangmillstheory