η′ multiplicity and the Witten-Veneziano relation at finite temperature

Benić, Sanjin and Horvatić, Davor and Kekez, Dalibor and Klabučar, Dubravko (2011) η′ multiplicity and the Witten-Veneziano relation at finite temperature. Physical Review D, 84 (1). pp. 16006-7. ISSN 1550-7998

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Abstract

We discuss and propose the minimal generalization of the Witten-Veneziano relation to finite temperatures, prompted by STAR and PHENIX experimental results on the multiplicity of η′ mesons. After explaining why these results show that the zero-temperature Witten-Veneziano relation cannot be straightforwardly extended to temperatures T too close to the chiral restoration temperature TCh and beyond, we find the quantity which should replace, at T>0, the Yang-Mills topological susceptibility appearing in the T=0 Witten-Veneziano relation, in order to avoid the conflict with experiment at T>0. This is illustrated through concrete T-dependences of pseudoscalar meson masses in a chirally well-behaved, Dyson-Schwinger approach, but our results and conclusions are of a more general nature and, essentially, model-independent.

Item Type: Article
Keywords: eta, eta', Witten-Veneziano relation, finite temperature QFT
Date: July 2011
Subjects: NATURAL SCIENCES > Physics
Additional Information: Copyright (2011) by the American Physical Society.
Divisions: Faculty of Science > Department of Physics
Project code: 119-0982930-1016, 098-0982887-2872
Publisher: American Physical Society
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 01 Jun 2014 12:31
Last Modified: 24 Feb 2016 15:13
URI: http://digre.pmf.unizg.hr/id/eprint/2063

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