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η′ and η mesons at high T when the U_A(1) and chiral symmetry breaking are tied

Horvatić, Davor; Kekez, Dalibor; Klabučar, Dubravko (2019) η′ and η mesons at high T when the U_A(1) and chiral symmetry breaking are tied. Physical Review D, 99 (1). ISSN 2470-0010

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The approach to the η′−η complex employing chirally well-behaved quark-antiquark bound states and incorporating the non-Abelian axial anomaly of QCD through the generalization of the Witten-Veneziano relation is extended to finite temperatures. Employing the chiral condensate has led to a sharp chiral and UA(1) symmetry restoration, but with the condensates of quarks with realistic explicit chiral symmetry breaking— which exhibit a smooth, crossover chiral symmetry restoration in qualitative agreement with lattice QCD results—we get a crossover UA(1) transition with a smooth and gradual melting of anomalous mass contributions. In this way, we obtain a substantial decrease in the η′ mass around the chiral transition temperature, but no decrease in the η mass. This is consistent with current empirical evidence.

Item Type: Article
Uncontrolled Keywords: nonperturbative ; QCD ; anomaly ; U_A(1) symmetry ; bound states
Subjects: NATURAL SCIENCES > Physics
Divisions: Division of Experimental Physics
Project titleProject leaderProject codeProject type
Tvar i međudjelovanja na ubrzivačima i u svemiru-MIAUKrešimir KumeričkiIP-2013-11-8799HRZZ
Depositing User: Dalibor Kekez
Date Deposited: 11 Mar 2022 12:47
DOI: 10.1103/PhysRevD.99.014007

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