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

Davor Horvatić1, Dalibor Kekez2, and Dubravko Klabučar1

  • 1Physics Department, Faculty of Science, University of Zagreb, Bijenička cesta 32, 10000 Zagreb, Croatia
  • 2Rugjer Bošković Institute, Bijenička cesta 34, 10000 Zagreb, Croatia

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Phys. Rev. D 99, 014007 – Published 9 January, 2019

DOI: https://doi.org/10.1103/PhysRevD.99.014007

Abstract

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.

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Phys. Rev. D 99, 014007– Published 9 January, 2019
  • Received 16 October 2018
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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