有限温度下的η'重数与Witten-Veneziano关系
η' Multiplicity and the Witten-Veneziano relation at finite temperature
摘要:
我们讨论并提出了最小的推广Witten-Veneziano关系有限的温度,提示STAR和PHENIX实验结果的eta'介子的多重性。在解释了为什么这些结果表明零温Witten-Veneziano关系不能直接推广到太接近手征恢复温度T_Ch及以上的温度T之后,我们找到了在T>0时应该替代T=0 Witten-Veneziano关系中出现的Yang-Mills拓扑磁化率的量,以避免在T>0时与实验的冲突。这是说明通过具体的T-依赖性的赝标介子质量的手征表现良好,戴森-Schwinger的方法,但我们的结果和结论是一个更一般的性质,基本上,模型无关的。
英文摘要:
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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