Abstract
We have investigated shear viscosity of quark matter in presence of a strong uniform magnetic field background where Nambu-Jona-Lasinio model has been considered to describe the magneto-thermodynamical properties of the medium. In presence of magnetic field, shear viscosity coefficient gets split into different components because of anisotropy in tangential stress of the fluid. Four different components can be merged to two components in limit of strong field, where collisional width of quark becomes much lower than its synchrotron frequency. A simplified contact diagram of quark-quark interaction can estimate a small collisional width, where strong field limit expressions are exactly applicable. Although, for RHIC or LHC matter, one can expect a large thermal width, for which generalized four components viscosities are necessary. We have explored these all different possible cases in the thermodynamical framework of Nambu-Jona-Lasinio model.
Highlights
One of the major updates in the research of heavy-ion collision (HIC) experiments like the Relativistic Heavy Ion Collider (RHIC) and LHC is that the produced medium behaves like a nearly perfect fluid [1], with the smallest shear viscosity–to–entropy density ratio (η=s) ever observed in nature
We have studied the shear viscosity of quark matter in a uniform magnetic field background, where the medium loses its isotropic property
Because of this anisotropic nature, one can get more than one component of shear viscosity, denoted by η1, η2, η3, and η4, which are reduced to two main components in the strong field limit through relations 4η1 1⁄4 η2 and 2η3 1⁄4 η4
Summary
One of the major updates in the research of heavy-ion collision (HIC) experiments like the Relativistic Heavy Ion Collider (RHIC) and LHC is that the produced medium behaves like a nearly perfect fluid [1], with the smallest shear viscosity–to–entropy density ratio (η=s) ever observed in nature. The modifications pertaining to the QCD phase diagram may have some impact in the transport properties of the medium produced in HICs. In the presence of magnetic field, different transport coefficients like shear viscosity [21,22,23,24,25,26,27,28], bulk viscosity [26,27,28,29,30], and electrical conductivity [31,32,33,34,35,36,37,38] of quark matter are calculated in recent times.
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