Momentum transport properties in thermal QCD medium with chirality dependent quark masses

We have studied the momentum transport coefficients, {\em{viz.}} shear and bulk viscosity, in a weakly magnetized $\left(e B \ll T^2\right)$ deconfined thermal QCD medium at finite quark chemical potential $(\mu)$. Depending upon the direction of the magnetic field and current, we can have three possible components, {\em{namely}}, longitudinal, transverse, and Hall. We have obtained five shear $\left(\eta_0, \eta_1, \eta_2, \eta_3\right.$ and $\left.\eta_4\right)$ and two bulk viscous components $\left(\zeta_0\right.$ and $\left.\zeta_1\right)$ using relativistic Boltzmann transport equation under RTA. The interaction among partons has been incorporated through the quasiparticle mass of quarks and gluons in the ambience of weak magnetic field, which depends on temperature and magnetic field differently for left-handed (L) and right-handed (R) chiral modes of quarks. This leads to the lifting of degeneracy in mass of chiral modes of quarks. The magnetic field dependence of $\mathrm{L}$ and $\mathrm{R}$ modes of $\eta_0, \eta_1$ and $\eta_3$ is opposite in nature. This is in contrast to $\eta_2$ and $\eta_4$, for which, both the L and $\mathrm{R}$ mode magnitudes increase with the magnetic field. The L modes of both $\zeta_0$ and $\zeta_1$ show an increment with magnetic field. For the $\mathrm{R}$ mode, up to $T \sim 0.35 \mathrm{GeV}$, the magnitude at $e B=0.2 m_\pi^2$ is greater than at $e B=0.1 m_\pi^2$; beyond $T \sim 0.35 \mathrm{GeV}$, the magnitude at $e B=0.1 m_\pi^2$ becomes greater than that at $e B=0.2 m_\pi^2$. Also, these shear and bulk viscosities get amplified with quark chemical potential for both modes. Additionally, we have also examined the effects of the magnetic field on specific shear and bulk viscosities, Prandtl number, and Reynolds number for $\mathrm{L}$ and $\mathrm{R}$ modes over a given temperature range

Shear viscosity of rotating, hot, and dense spin-half fermionic systems from quantum field theory

In this study, we calculate the shear viscosity for rotating fermions with spin-half under conditions of high temperature and density. We employ the Kubo formalism, rooted in finite-temperature quantum field theory, to compute the field correlation functions essential for this evaluation. The one-loop diagram pertinent to shear viscosity is analyzed within the context of curved space, utilizing tetrad formalism as an effective approach in cylindrical coordinates. Our findings focus on extremely high angular velocities, ranging from 0.1 to 1 GeV, which align with experimental expectations. Furthermore, we explore the interrelationship between the chemical potential and angular velocity within the scope of this study.Comment: 14 pages, 4 figure

Dynamics of Hot QCD Matter -- Current Status and Developments

The discovery and characterization of hot and dense QCD matter, known as Quark Gluon Plasma (QGP), remains the most international collaborative effort and synergy between theorists and experimentalists in modern nuclear physics to date. The experimentalists around the world not only collect an unprecedented amount of data in heavy-ion collisions, at Relativistic Heavy Ion Collider (RHIC), at Brookhaven National Laboratory (BNL) in New York, USA, and the Large Hadron Collider (LHC), at CERN in Geneva, Switzerland but also analyze these data to unravel the mystery of this new phase of matter that filled a few microseconds old universe, just after the Big Bang. In the meantime, advancements in theoretical works and computing capability extend our wisdom about the hot-dense QCD matter and its dynamics through mathematical equations. The exchange of ideas between experimentalists and theoreticians is crucial for the progress of our knowledge. The motivation of this first conference named "HOT QCD Matter 2022" is to bring the community together to have a discourse on this topic. In this article, there are 36 sections discussing various topics in the field of relativistic heavy-ion collisions and related phenomena that cover a snapshot of the current experimental observations and theoretical progress. This article begins with the theoretical overview of relativistic spin-hydrodynamics in the presence of the external magnetic field, followed by the Lattice QCD results on heavy quarks in QGP, and finally, it ends with an overview of experiment results.Comment: Compilation of the contributions (148 pages) as presented in the `Hot QCD Matter 2022 conference', held from May 12 to 14, 2022, jointly organized by IIT Goa & Goa University, Goa, Indi