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

D. Horvatić, D. Klabučar, and A. E. Radzhabov
Phys. Rev. D 76, 096009 – Published 29 November 2007

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 η and η. 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 η mass around the chiral restoration temperature TCh, which would suggest a suppression of η production in relativistic heavy-ion collisions. The increase of the η mass may also indicate that the extension of the Witten-Veneziano relation to finite temperatures becomes unreliable around and above TCh. Possibilities of an improved treatment are discussed.

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  • Received 10 August 2007

DOI:https://doi.org/10.1103/PhysRevD.76.096009

©2007 American Physical Society

Authors & Affiliations

D. Horvatić1,*, D. Klabučar1,2,†,‡, and A. E. Radzhabov3,§

  • 1Physics Department, Faculty of Science, University of Zagreb, Bijenička c. 32, Zagreb 10000, Croatia
  • 2Senior Associate of International Centre for Theoretical Physics, Trieste, Italy
  • 3Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia

  • *davorh@phy.hr
  • Corresponding author.
  • klabucar@oberon.phy.hr
  • §aradzh@theor.jinr.ru

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Issue

Vol. 76, Iss. 9 — 1 November 2007

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