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A U_A(1) symmetry restoration scenario supported by the generalized Witten-Veneziano relation and its analytic solution

Benić, Sanjin; Horvatić, Davor; Kekez, Dalibor; Klabučar, Dubravko (2014) A U_A(1) symmetry restoration scenario supported by the generalized Witten-Veneziano relation and its analytic solution. Physics Letters B, 738 . pp. 113-117. ISSN 0370-2693

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The Witten-Veneziano relation, or, alternatively, its generalization proposed by Shore, facilitates understanding and describing the complex of eta and eta' mesons. We present an analytic, closed-form solution to Shore's equations which gives results on the eta-eta' complex in full agreement with results previously obtained numerically. Although the Witten-Veneziano relation and Shore's equations are related, the ways they were previously used in the context of dynamical models to calculate eta and eta' properties, were rather different. However, with the analytic solution, the calculation can be formulated similarly to the approach through the Witten-Veneziano relation, and with some conceptual improvements. In the process, one strengthens the arguments in favor of a possible relation between the U_A(1) and SU_A(3) chiral symmetry breaking and restoration. To test this scenario, the experiments such as those at RHIC, NICA and FAIR, which extend the RHIC (and LHC) high- temperature scans also to the finite-density parts of the QCD phase diagram, should pay particular attention to the signatures from the eta'-eta complex indicating the symmetry restoration.

Item Type: Article
Uncontrolled Keywords: analytic solution; U_A(1) and chiral symmetry restoration; axial anomaly; quark matter
Subjects: NATURAL SCIENCES > Physics
Divisions: Division of Experimental Physics
Project titleProject leaderProject codeProject type
Matter and Interactions at Accelerators and in Universe (Tvar i međudjelovanja na ubrzivačima i u svemiru)-MIAUKrešimir KumeričkiIP-11-2013-8799HRZZ
Depositing User: Dalibor Kekez
Date Deposited: 06 Jun 2016 12:50
DOI: 10.1016/j.physletb.2014.09.029

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