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arXiv · 1105.0356

η' Multiplicity and the Witten-Veneziano relation at finite temperature

S. Benic·D. Horvatic·D. Kekez·D. Klabucar
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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 eta' 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 T_Ch 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.

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S. Benic, D. Horvatic, D. Kekez, D. Klabucar. 2011-08-25. η' Multiplicity and the Witten-Veneziano relation at finite temperature. https://doi.org/10.1103/physrevd.84.016006

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