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  • 标题:Transport Coefficient of Gluon Plasma from Lattice QCD
  • 本地全文:下载
  • 作者:S. Sakai ; A. Nakamura
  • 期刊名称:PoS - Proceedings of Science
  • 印刷版ISSN:1824-8039
  • 出版年度:2005
  • 卷号:2005
  • 出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
  • 摘要:RHIC is now confirming the discovery of the “New State of Matter”, whose properties are gradually revealed by experimental data. It is not the free gas state, but well described by a fluid with very small viscosity. It is now highly desired to calculate the value of the viscosity from the fundamental theory, i.e., QCD just above the transition temperature. In this report we present our calculation of the transport coefficient of gluon system on 243 8 lattice in the quench approximation. Simulations are carried out in the range, 1:4  T=Tc  24. In the temperature region slightly above the transition, where the perturbative calculation is not applicable, the shear viscosity is smaller than typical hadron masses. The bulk viscosity is consistent with zero within the range of error bars in 1:4  T=Tc  24. We compare our results with the perturbative calculations in large T=Tc region. It is found that the lattice and perturbative results are consistent with each other there. The ratio h=s is around 0:1􀀀0:4 in T=Tc < 3 region and satisfies the KSS bound. In order to estimate the contribution from high frequency part of the spectral function, we add a term, rhigh, proposed by Aarts and Resco[3]. It is found that until the threshold mass becomes small, its effect is quite small, and that viscosity decreases as the threshold decreses. From these studies we think that although our result is obtained under an assumptions for the spectral function, it gives a reasonable estimation for dr=dw at w = 0, and qualitative results will not be changed when the accurate spectral function is obtained.
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