THERMODYNAMIC, MAGNETIC AND TRANSPORT PROPERTIES OF HOT QCD MATTER IN A STRONG MAGNETIC FIELD

Abstract

At high temperatures and/or baryon densities, the nuclear matter undergoes a transition to a matter consisting of decon ned quarks and gluons, called as quark-gluon plasma (QGP). The interaction among the constituents of the QGP medium can be explored by the quantum chromodynamics (QCD), the theory of strong interactions. The studies on the thermodynamic properties, the transport properties etc. of the hot QCD matter were previously done for the simplest possible phenomenological setting with fully central collisions, where symmetric con guration of the nuclei does not yield any magnetic eld. However, in noncentral events of heavy ion collisions, a strong magnetic eld is produced, whose magnitude varies between m2 (' 1018 Gauss) at RHIC to 15 m2 at LHC. The initially produced strong magnetic eld has short lifetime, however, depending on the electrical conductivity of the medium, the lifetime of magnetic eld may be signi cantly extended. Since the magnetic eld breaks the rotational symmetry of the system, the properties of the hot QCD matter might have been a ected by the magnetic eld. Thus, in this thesis, we have studied how the thermodynamic, magnetic and transport properties of the hot QCD matter get modi ed in the presence of a strong magnetic eld. We have then extended our study to nite chemical potential case to see the e ect of baryon density on the transport coef- cients. This thesis consists of six chapters and brief descriptions of all chapters are given as follows.