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24 April 2024
 
  » arxiv » 1007.2076

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Quark Number Susceptibility in Hard Thermal Loop Perturbation Theory
Najmul Haque ; Munshi G. Mustafa ;
Date 13 Jul 2010
AbstractWe formulate a thermodynamically consistent Hard Thermal Loop perturbation theory at the first derivative level of the thermodynamic potential by employing an external probe to the system. Using this we obtain various thermodynamic quantities in leading order, and also, in particular, the quark number susceptibility as a response to such an external disturbance. The results so obtained are separated in soft and hard momenta naturally and are also in agreement with those obtained in the two-loop approximately self-consistent $Phi$-derivable Hard Thermal Loop resummation. Further, we also calculate the quark number susceptibility, which is related to the correlation function through the thermodynamic sum rule associated with the symmetry of the system. Within the Hard Thermal Loop approximation this connection was not shown earlier and also the equivalence of the quark number susceptibility in two ways.
Source arXiv, 1007.2076
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