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 arXiv:2008.01269. The holographic model consists of a probe SU(2) gauge field in a doubled Schwarzschild-AdS 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.
Keywords
Cite
@article{arxiv.2205.00195,
title = {Holographic Schwinger-Keldysh field theory of SU(2) diffusion},
author = {Yanyan Bu and Xiyang Sun and Biye Zhang},
journal= {arXiv preprint arXiv:2205.00195},
year = {2022}
}
Comments
published version ,32 pages, 2 figures