Holographic Schwinger-Keldysh field theory of SU(2) diffusion

Abstract

We construct effective field theory for SU(2) isospin charge diffusion, based on holographic Schwinger-Keldysh contour [1]. The holographic model consists of a probe SU(2) gauge field in a doubled Schwarzschild-AdS 5 geometry. Accurate to first order in derivative expansion, we analytically compute the effective action up to quartic order in hydrodynamical fields. The effective theory contains both non-Gaussianity for noises and nonlinear interactions between noises and dynamical variables. Moreover, the effective theory captures both thermal and quantum fluctuations, which perfectly satisfy dynamical Kubo-Martin-Schwinger (KMS) symmetry at quantum level. Interestingly, the dynamical KMS symmetry, which is crucial in formulating non-equilibrium effective field theory for a quantum many-body system, is found to have a nice holographic interpretation.

Nonlinear effective dynamics of a Brownian particle in magnetized plasma

“…In holographic context, dynamics of heavy quark in magnetized plasma was considered in[33][34][35][36][37][38][39][40].Anisotropic effects on heavy quark dynamics were considered, for e.g., in[41][42][43] 5. In recent years, the holographic SK contour[49] attracted a lot of attention in various holographic settings[5,[50][51][52][53][54][55][56][57][58][59][60].…”