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\eta' Multiplicity and the Witten-Veneziano relation at finite temperature
- Source :
- Phys.Rev.D84:016006,2011
- Publication Year :
- 2011
-
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.<br />Comment: 7 pages, 3 eps figures, revtex4, text slightly rearranged for clarity, version published in Phys. Rev. D
- Subjects :
- High Energy Physics - Phenomenology
Nuclear Theory
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys.Rev.D84:016006,2011
- Publication Type :
- Report
- Accession number :
- edsarx.1105.0356
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevD.84.016006