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Chiral symmetry restoration effects onto the meson spectrum from a Dyson-Schwinger and Bethe-Salpeter approach

Reinhard Alkofer Orcid Logo, Christian S. Fischer Orcid Logo, Fabian Zierler

Physical Review D

Swansea University Author: Fabian Zierler

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DOI (Published version): 10.1103/q3kq-s8qn

Abstract

Light meson spectra are studied in a Dyson-Schwinger/Bethe-Salpeter approach to QCD. By varying the interaction strength of three sets of models for the quark-antiquark interaction, the transition from the chiral symmetric to the chirally broken regime in the vacuum is studied. The simplest type of...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS)
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URI: https://cronfa.swan.ac.uk/Record/cronfa71472
first_indexed 2026-02-20T10:12:58Z
last_indexed 2026-04-15T04:47:07Z
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spelling 2026-04-14T11:27:50.3052171 v2 71472 2026-02-20 Chiral symmetry restoration effects onto the meson spectrum from a Dyson-Schwinger and Bethe-Salpeter approach 7eb526fdce1693fc0b79f33e74cc182d Fabian Zierler Fabian Zierler true false 2026-02-20 BGPS Light meson spectra are studied in a Dyson-Schwinger/Bethe-Salpeter approach to QCD. By varying the interaction strength of three sets of models for the quark-antiquark interaction, the transition from the chiral symmetric to the chirally broken regime in the vacuum is studied. The simplest type of these models leads to degenerate meson spectra for a large domain of the strength parameter. The more sophisticated and thus more realistic models show significantly smaller parameter domains for which degenerate meson spectra are obtained. The underlying mechanism for obtaining and then lifting degeneracies is traced back to the location of the quark propagators’ poles, in particular, whether they are beyond or within the domain of integration in the Bethe-Salpeter equation. In view of this mechanism the potential relation of the obtained degeneracies to the dynamical emergence of symmetries is discussed, adding thereby another point of view on the conjectured chiral spin symmetry of QCD in the temperature domain right above the crossover. Journal Article Physical Review D American Physical Society (APS) 2470-0010 2470-0029 0 0 0 0001-01-01 10.1103/q3kq-s8qn In press COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University STFC Consolidated Grant No. ST/X000648/1; Advanced ERC grant ERC-2023-ADG-Project EFT-XYZ; Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the Collaborative Research Center TransRegio CRC-TR 211 “Strong-interaction matter under extreme conditions”. 2026-04-14T11:27:50.3052171 2026-02-20T10:00:30.2625332 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Reinhard Alkofer 0000-0001-7433-3295 1 Christian S. Fischer 0000-0001-8780-7031 2 Fabian Zierler 3 71472__36275__dfab19dc00a84dd7903433c5cf855119.pdf 71472.Preprint.pdf 2026-02-20T10:11:39.3446704 Output 9230417 application/pdf Pre-print true Preprint article before certification by peer review. true eng https://creativecommons.org/licenses/by/4.0/
title Chiral symmetry restoration effects onto the meson spectrum from a Dyson-Schwinger and Bethe-Salpeter approach
spellingShingle Chiral symmetry restoration effects onto the meson spectrum from a Dyson-Schwinger and Bethe-Salpeter approach
Fabian Zierler
title_short Chiral symmetry restoration effects onto the meson spectrum from a Dyson-Schwinger and Bethe-Salpeter approach
title_full Chiral symmetry restoration effects onto the meson spectrum from a Dyson-Schwinger and Bethe-Salpeter approach
title_fullStr Chiral symmetry restoration effects onto the meson spectrum from a Dyson-Schwinger and Bethe-Salpeter approach
title_full_unstemmed Chiral symmetry restoration effects onto the meson spectrum from a Dyson-Schwinger and Bethe-Salpeter approach
title_sort Chiral symmetry restoration effects onto the meson spectrum from a Dyson-Schwinger and Bethe-Salpeter approach
author_id_str_mv 7eb526fdce1693fc0b79f33e74cc182d
author_id_fullname_str_mv 7eb526fdce1693fc0b79f33e74cc182d_***_Fabian Zierler
author Fabian Zierler
author2 Reinhard Alkofer
Christian S. Fischer
Fabian Zierler
format Journal article
container_title Physical Review D
institution Swansea University
issn 2470-0010
2470-0029
doi_str_mv 10.1103/q3kq-s8qn
publisher American Physical Society (APS)
college_str Faculty of Science and Engineering
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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
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description Light meson spectra are studied in a Dyson-Schwinger/Bethe-Salpeter approach to QCD. By varying the interaction strength of three sets of models for the quark-antiquark interaction, the transition from the chiral symmetric to the chirally broken regime in the vacuum is studied. The simplest type of these models leads to degenerate meson spectra for a large domain of the strength parameter. The more sophisticated and thus more realistic models show significantly smaller parameter domains for which degenerate meson spectra are obtained. The underlying mechanism for obtaining and then lifting degeneracies is traced back to the location of the quark propagators’ poles, in particular, whether they are beyond or within the domain of integration in the Bethe-Salpeter equation. In view of this mechanism the potential relation of the obtained degeneracies to the dynamical emergence of symmetries is discussed, adding thereby another point of view on the conjectured chiral spin symmetry of QCD in the temperature domain right above the crossover.
published_date 0001-01-01T06:10:05Z
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score 11.102584

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