[Submitted on 30 Apr 2022] (cross-list from hep-th)
Holographic Schwinger-Keldysh field theory of SU(2) diffusion
Yanyan Bu🇨🇳 · Xiyang Sun🇨🇳 · Biye Zhang🇨🇳
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.
- Comments:
- published version ,32 pages, 2 figures
- Subjects:
- High Energy Physics — Theory (hep-th); High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
- arXiv:
- 2205.00195 [pdf]