η and η′ mesons in the Dyson-Schwinger approach at finite temperature

Horvatić, Davor and Klabučar, Dubravko and Radzhabov, A. E. (2007) η and η′ mesons in the Dyson-Schwinger approach at finite temperature. Physical Review D, 76 (9). pp. 96009-14. ISSN 1550-7998

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Abstract

We study the temperature dependence of the pseudoscalar meson properties in a relativistic bound-state approach exhibiting the chiral behavior mandated by QCD. Concretely, we adopt the Dyson-Schwinger approach with a rank-2 separable model interaction. After extending the model to the strange sector and fixing its parameters at zero temperature, T=0, we study the T-dependence of the masses and decay constants of all ground-state mesons in the pseudoscalar nonet. Of chief interest are $\eta$ and $\eta^\prime$. The influence of the QCD axial anomaly on them is successfully obtained through the Witten-Veneziano relation at T=0. The same approach is then extended to T>0, using lattice QCD results for the topological susceptibility. The most conspicuous finding is an increase of the $\eta^\prime$ mass around the chiral restoration temperature $T_{; ; ; ; \rm Ch}; ; ; ; $, which would suggest a suppression of $\eta^\prime$ production in relativistic heavy-ion collisions. The increase of the $\eta^\prime$ mass may also indicate that the extension of the Witten-Veneziano relation to finite temperatures becomes unreliable around and above $T_{; ; ; ; \rm Ch}; ; ; ; $. Possibilities of an improved treatment are discussed.

Item Type: Article
Keywords: QCD, Dyson-Schwinger, Bethe-Salpeter, finite temperature, pseudoscalar mesons
Date: November 2007
Subjects: NATURAL SCIENCES > Physics
Additional Information: Copyright (2007) by the American Physical Society.
Divisions: Faculty of Science > Department of Physics
Project code: 119-0982930-1016
Publisher: American Physical Society
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 24 May 2014 19:41
Last Modified: 24 May 2014 19:41
URI: http://digre.pmf.unizg.hr/id/eprint/1700

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