Real Time Correlators in Hot (2+1)d QCD

TL;DR

This paper relates real-time finite temperature correlation functions in (2+1)d QCD to bound state parameters in a generalized 't Hooft model, highlighting the importance of heavy modes for dynamical correlators and proposing a non-perturbative expression.

Contribution

It introduces a novel approach connecting (2+1)d QCD correlators to a 2d bound state model, emphasizing the role of heavy modes in dynamical correlators.

Findings

Leading T perturbative results explained via bound states

Bound state trajectories involve quarks and adjoint scalars

Proposed non-perturbative expression for small momentum correlators

Abstract

We use dimensional reduction techniques to relate real time finite T correlation functions in (2+1) dimensional QCD to bound state parameters in a generalized 't Hooft model with an infinite number of heavy quark and adjoint scalar fields. While static susceptibilities and correlation functions of the DeTar type can be calculated using only the light (static) gluonic modes, the dynamical correlators require the inclusion of the heavy modes. In particular we demonstrate that the leading T perturbative result can be understood in terms of the bound states of the 2d model and that consistency requires bound state trajectories composed of both quarks and adjoint scalars. We also propose a non-perturbative expression for the dynamical DeTar correlators at small spatial momenta.