Non-equilibrium real-time dynamics and transport coefficients in Light-Front Holographic QCD

Abstract

We propose an extension of Light-Front Holographic QCD (LFHQCD) to investigate non-equilibrium real-time dynamics and transport properties of strongly coupled QCD matter. While LFHQCD has been successfully applied to hadronic spectroscopy and parton distributions, its potential for modeling transport phenomena remains unexplored. We develop a light-front framework to compute key transport coefficients-such as shear viscosity, bulk viscosity, and the jet quenching parameter-by introducing finite-temperature and density effects via holographic black brane backgrounds and incorporating metric fluctuations in the AdS bulk. Using the light-front Schrodinger equation with temperature-modified effective potentials, we derive analytic and numerical results for the dissipative response functions of the strongly coupled quark-gluon plasma. Our approach leverages the Minkowski-space wavefunctions of LFHQCD, enabling real-time modeling of pre-equilibrium and thermalization dynamics inaccessible to Euclidean lattice simulations. This study opens a new frontier in holographic QCD phenomenology and offers testable predictions relevant to heavy-ion collisions at RHIC and LHC.