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

作者：Benic S; Horvatic D; Kekez D; Klabucar D^*

来源：Physics Letters B, 2014, 738: 113-117.

DOI：10.1016/j.physletb.2014.09.029

• Analytic solution
• U-A(1) and chiral symmetry restoration
• Axial anomaly
• Quark matter

The Witten-Veneziano relation, or, alternatively, its generalization proposed by Shore, facilitates understanding and describing the complex of eta and eta%26apos; mesons. We present an analytic, closed-form solution to Shore%26apos;s equations which gives results on the eta-eta%26apos; complex in full agreement with results previously obtained numerically. Although the Witten-Veneziano relation and Shore%26apos;s equations are related, the ways they were previously used in the context of dynamical models to calculate eta and eta%26apos; 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 SUA(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%26apos; complex indicating the symmetry restoration.

• 出版日期2014-11-10