Open effective theory of scalar field in rotating plasma

TL;DR

This paper develops an effective theory for an open scalar field interacting with a rotating strongly-coupled plasma, using holography to derive Langevin dynamics with rotation and non-Gaussian noise effects.

Contribution

It introduces a holographic approach to derive the effective open scalar field theory in a rotating plasma, including linear and non-linear Langevin equations with fluctuation-dissipation relations.

Findings

Derived linear Langevin dynamics with rotation.

Computed higher order non-linear coefficients in the effective action.

Established non-Gaussian thermal noise in the non-linear Langevin regime.

Abstract

We study the effective dynamics of an open scalar field interacting with a strongly-coupled two-dimensional rotating CFT plasma. The effective theory is determined by the real-time correlation functions of the thermal plasma. We employ holographic Schwinger-Keldysh path integral techniques to compute the effective theory. The quadratic effective theory computed using holography leads to the linear Langevin dynamics with rotation. The noise and dissipation terms in this equation get related by the fluctuation-dissipation relation in presence of chemical potential due to angular momentum. We further compute higher order terms in the effective theory of the open scalar field. At quartic order, we explicitly compute the coefficient functions that appear in front of various terms in the effective action in the limit when the background plasma is slowly rotating. The higher order effective theory has a description in terms of the non-linear Langevin equation with non-Gaussianity in the thermal noise.