Color dependence of the topological susceptibility in Yang-Mills theories

Ed Bennett; Deog Ki Hong; Jong Wan Lee; C. J.David Lin; Biagio Lucini; Maurizio Piai; Davide Vadacchino

doi:10.1016/j.physletb.2022.137504

Color dependence of the topological susceptibility in Yang-Mills theories

Ed Bennett
, Deog Ki Hong^*
, Jong Wan Lee
, C. J.David Lin
, Biagio Lucini
, Maurizio Piai
, Davide Vadacchino

^*Corresponding author for this work

Swansea University
Pusan National University
Chung Yuan Christian University
National Tsing Hua University
National Yang Ming Chiao Tung University
Trinity College Dublin

Research output: Contribution to journal › Article › peer-review

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Abstract

For Yang-Mills theories in four dimensions, we propose to rescale the ratio between topological
susceptibility and string tension squared in a universal way, dependent only on group factors. We apply
this suggestion to SU(Nc ) and Sp(Nc ) groups, and compare lattice measurements performed by several
independent collaborations. We show that the two sequences of (rescaled) numerical results in these two
families of groups are compatible with each other. We hence perform a combined fit, and extrapolate to
the common large-Nc limit.

Original language	English
Article number	137504
Journal	Physics Letters B
Volume	835
Early online date	14 Oct 2022
DOIs	https://doi.org/10.1016/j.physletb.2022.137504
Publication status	Published - 10 Dec 2022

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10.1016/j.physletb.2022.137504Licence: CC BY

1-s2Final published version, 404 KBLicence: CC BY

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title = "Color dependence of the topological susceptibility in Yang-Mills theories",

abstract = "For Yang-Mills theories in four dimensions, we propose to rescale the ratio between topological susceptibility and string tension squared in a universal way, dependent only on group factors. We apply this suggestion to SU(Nc ) and Sp(Nc ) groups, and compare lattice measurements performed by several independent collaborations. We show that the two sequences of (rescaled) numerical results in these two families of groups are compatible with each other. We hence perform a combined fit, and extrapolate to the common large-Nc limit.",

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T1 - Color dependence of the topological susceptibility in Yang-Mills theories

AU - Bennett, Ed

AU - Hong, Deog Ki

AU - Lee, Jong Wan

AU - Lin, C. J.David

AU - Lucini, Biagio

AU - Piai, Maurizio

AU - Vadacchino, Davide

N1 - Open Access Statement - For the purpose of open access, the authors have applied a Creative Commons Attribution (CC BY) licence to any Author Accepted Manuscript version arising.

PY - 2022/12/10

Y1 - 2022/12/10

N2 - For Yang-Mills theories in four dimensions, we propose to rescale the ratio between topological susceptibility and string tension squared in a universal way, dependent only on group factors. We apply this suggestion to SU(Nc ) and Sp(Nc ) groups, and compare lattice measurements performed by several independent collaborations. We show that the two sequences of (rescaled) numerical results in these two families of groups are compatible with each other. We hence perform a combined fit, and extrapolate to the common large-Nc limit.

AB - For Yang-Mills theories in four dimensions, we propose to rescale the ratio between topological susceptibility and string tension squared in a universal way, dependent only on group factors. We apply this suggestion to SU(Nc ) and Sp(Nc ) groups, and compare lattice measurements performed by several independent collaborations. We show that the two sequences of (rescaled) numerical results in these two families of groups are compatible with each other. We hence perform a combined fit, and extrapolate to the common large-Nc limit.

UR - https://pearl.plymouth.ac.uk/secam-research/537/

U2 - 10.1016/j.physletb.2022.137504

DO - 10.1016/j.physletb.2022.137504

M3 - Article

SN - 1873-2445

VL - 835

JO - Physics Letters B

JF - Physics Letters B

M1 - 137504

ER -

Color dependence of the topological susceptibility in Yang-Mills theories

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Color dependence of the topological susceptibility in Yang-Mills theories

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