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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
first_indexed 2024-03-22T17:56:25Z
last_indexed 2024-11-25T14:17:04Z
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spelling 2024-04-28T20:36:44.4616019 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 BGPS 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 Biosciences Geography and Physics School COLLEGE CODE BGPS 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 2024-04-19T08:27:46Z
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score 11.056294

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