Free Meson Seminars
Susceptibilities in effective model (Through Skype)
by Dr. Anirban Lahiri (Bose Institute, Kolkata)
Wednesday, July 10, 2013
from
to
(Asia/Kolkata)
at Colaba Campus ( A304 )
at Colaba Campus ( A304 )
Description |
Non-perturbative model studies are established as an useful tool to explore different features of QCD at both vanishing and non-vanishing chemical potential. I have worked with such a model namely Nambu-Jona-Lasinio (NJL) model and its Polyakov loop extended version known as PNJL model. I have divided my talk into three parts. In the first part, I will show some results for a situation where isospin symmetry is explicitly broken in 2 flavor sector. Although bulk thermodynamics and diagonal susceptibilities remain almost unaltered, some off-diagonal susceptibilities show significant deviation from their isospin symmetric limit. We found a linear proportionality between these susceptibilities and mass difference between light flavors. We give some possible connection to HIC experiments in this context. In the next part, we have tried to calculate quark number susceptibility analytically using fluctuation-dissipation theorem (FDT) and we found that result from the most expected form of FDT is not matching with the Taylor coefficients of pressure. We have shown that the difference is coming due to implicit chemical potential dependence of pressure through mean fields. Our calculation points towards a formal modification of FDT, when used in mean field models. In continuation of the previous work, in the last section, we explored isospin number fluctuation and flavor off-diagonal susceptibility to study the importance of implicit dependence. Some logical arguments immediately tells us about a correspondence between implicit dependence and a particular class of diagrams in non-perturbative QCD. |