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Dependence of the Landau gauge ghost-gluon-vertex on the number of flavors

Fabian Zierler, Reinhard Alkofer Orcid Logo

Physical Review D, Volume: 109, Issue: 7

Swansea University Author: Fabian Zierler

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DOI (Published version): 10.1103/physrevd.109.074024

Abstract

The gauge-boson, ghost and fermion propagators as well as the gauge-boson–ghost vertex functionare studied for SU(N ), Sp(2N ) and SO(N ) gauge groups. We solve a set of coupled Dyson-Schwingerequations in Landau gauge for a variable, fractional number Nf of massless fermions in the funda-mental rep...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS) 2024
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URI: https://cronfa.swan.ac.uk/Record/cronfa65884
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first_indexed 2024-03-22T17:56:25Z
last_indexed 2024-03-22T17:56:25Z
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spelling v2 65884 2024-03-22 Dependence of the Landau gauge ghost-gluon-vertex on the number of flavors 7eb526fdce1693fc0b79f33e74cc182d Fabian Zierler Fabian Zierler true false 2024-03-22 SPH The gauge-boson, ghost and fermion propagators as well as the gauge-boson–ghost vertex functionare studied for SU(N ), Sp(2N ) and SO(N ) gauge groups. We solve a set of coupled Dyson-Schwingerequations in Landau gauge for a variable, fractional number Nf of massless fermions in the funda-mental representation. For large Nf we find a phase transition from a chirally broken into a chirallysymmetric phase that is consistent with the behavior expected inside the conformal window. Evenin the presence of fermions the gauge-boson–ghost-vertex dressing remains small. In the conformalwindow this vertex shows the expected power law behavior. It does not assume its tree-level valuein the far infrared, but the respective dressing function is a constant greater than one Journal Article Physical Review D 109 7 American Physical Society (APS) 2470-0010 2470-0029 19 4 2024 2024-04-19 10.1103/physrevd.109.074024 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University SU Library paid the OA fee (TA Institutional Deal) UKRI Science and Technology Facilities Council (STFC), Austrian Science Fund STRONG-DM (FG1), ST/X000648/1 2024-04-28T20:36:44.4616019 2024-03-22T17:43:47.5064167 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Fabian Zierler 1 Reinhard Alkofer 0000-0001-7433-3295 2 65884__30173__c2c25be6831f4253a301a7338fff6061.pdf 65884.VoR.pdf 2024-04-28T20:34:38.2090104 Output 1580252 application/pdf Version of Record true Released under the terms of the Creative Commons Attribution 4.0 International license. true eng https://creativecommons.org/licenses/by/4.0/ 238 Fabian Zierler 0000-0002-8670-4054 fabian.zierler@swansea.ac.uk true https://zenodo.org/doi/10.5281/zenodo.10356234 false
title Dependence of the Landau gauge ghost-gluon-vertex on the number of flavors
spellingShingle Dependence of the Landau gauge ghost-gluon-vertex on the number of flavors
Fabian Zierler
title_short Dependence of the Landau gauge ghost-gluon-vertex on the number of flavors
title_full Dependence of the Landau gauge ghost-gluon-vertex on the number of flavors
title_fullStr Dependence of the Landau gauge ghost-gluon-vertex on the number of flavors
title_full_unstemmed Dependence of the Landau gauge ghost-gluon-vertex on the number of flavors
title_sort Dependence of the Landau gauge ghost-gluon-vertex on the number of flavors
author_id_str_mv 7eb526fdce1693fc0b79f33e74cc182d
author_id_fullname_str_mv 7eb526fdce1693fc0b79f33e74cc182d_***_Fabian Zierler
author Fabian Zierler
author2 Fabian Zierler
Reinhard Alkofer
format Journal article
container_title Physical Review D
container_volume 109
container_issue 7
publishDate 2024
institution Swansea University
issn 2470-0010
2470-0029
doi_str_mv 10.1103/physrevd.109.074024
publisher American Physical Society (APS)
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
active_str 0
description The gauge-boson, ghost and fermion propagators as well as the gauge-boson–ghost vertex functionare studied for SU(N ), Sp(2N ) and SO(N ) gauge groups. We solve a set of coupled Dyson-Schwingerequations in Landau gauge for a variable, fractional number Nf of massless fermions in the funda-mental representation. For large Nf we find a phase transition from a chirally broken into a chirallysymmetric phase that is consistent with the behavior expected inside the conformal window. Evenin the presence of fermions the gauge-boson–ghost-vertex dressing remains small. In the conformalwindow this vertex shows the expected power law behavior. It does not assume its tree-level valuein the far infrared, but the respective dressing function is a constant greater than one
published_date 2024-04-19T20:36:42Z
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score 11.013686

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