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

Scientific paper - Original scientific paper

• Author: Sanjin Benić
• Author: Davor Horvatić
• Author: Dalibor Kekez
• Author: Dubravko Klabučar
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

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.

• Keywords (english): analytic solution; U_A(1) and chiral symmetry restoration; axial anomaly; quark matter
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Physics Letters B
• Numbering: vol. 738, pp. 113-117
• p-ISSN: 0370-2693
• DOI: https://doi.org/10.1016/j.physletb.2014.09.029
• URN:NBN: urn:nbn:hr:217:550510
• Publication: 2014
• Project: Number: IP-2013-11-8799; Title (croatian): Tvar i međudjelovanja na ubrzivačima i u svemiru; Acronym: MIAU; Leader: Krešimir Kumerički; Jurisdiction: Croatia; Funding stream: IP
• Document URL: http://www.sciencedirect.com/science/article/pii/S0370269314006790
• Type of resource: Text
• Access conditions: Open access
• Public note: © 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/). Funded by SCOAP3. Received 19 May 2014. Accepted 10 September 2014. Available online 17 September 2014.
• Created on: 2019-12-28 20:35:38