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

Scientific paper - Original scientific paper

• Author: Davor Horvatić
• Author: Dubravko Klabučar
• Author: A. E. Radzhabov
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

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 T_Ch, 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 T_Ch. Possibilities of an improved treatment are discussed.

• Keywords (english): QCD; Dyson-Schwinger; Bethe-Salpeter; finite temperature; pseudoscalar mesons
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Physical Review D - Particles, Fields, Gravitation and Cosmology
• Numbering: vol. 76, no. 9, 096009
• p-ISSN: 1550-7998
• e-ISSN: 1550-2368
• DOI: https://doi.org/10.1103/PhysRevD.76.096009
• URN:NBN: urn:nbn:hr:217:480454
• Publication: 2007
• Project: Number: 119-0982930-1016; Title (croatian): Elementarne čestice, teorija polja i kozmologija; Leader: Ivica Picek; Jurisdiction: Croatia; Funding stream: ZP
• Document URL: http://link.aps.org/doi/10.1103/PhysRevD.76.096009
• Type of resource: Text
• Access conditions: Open access
• Public note: Copyright (2007) by the American Physical Society. Received 10 August 2007; published 29 November 2007.
• Created on: 2019-10-18 15:41:57