Benić, Sanjin; Horvatić, Davor; Kekez, Dalibor; Klabučar, Dubravko
(2014)
A U_A(1) symmetry restoration scenario supported by the generalized WittenVeneziano relation and its analytic solution.
Physics Letters B, 738
.
pp. 113117.
ISSN 03702693
Abstract
The WittenVeneziano relation, or, alternatively, its generalization proposed by Shore, facilitates understanding and describing the complex of eta and eta' mesons. We present an analytic, closedform solution to Shore's equations which gives results on the etaeta' complex in full agreement with results previously obtained numerically. Although the WittenVeneziano 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 WittenVeneziano 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 finitedensity parts of the QCD phase diagram, should pay particular attention to the signatures from the eta'eta complex indicating the symmetry restoration.
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