论文标题
SU的全息施温格 - 克尔迪斯田间理论（2）扩散
Holographic Schwinger-Keldysh field theory of SU(2) diffusion
论文作者
论文摘要
我们基于全息schwinger-keldysh轮廓arxiv：2008.01269构建了SU（2）Isospin电荷扩散的有效场理论。全息模型由探测器SU（2）量规场组成，在双打Schwarzschild-ads $ _5 $几何形状中。精确到衍生化扩展中的一阶，我们通过分析将有效的动作计算为流体动力场中的四分之一阶。该有效理论既包含噪音的非高斯性，又包含噪音和动态变量之间的非线性相互作用。此外，有效理论捕获了热和量子波动，这些波动完美满足了量子水平上的动力学库博 - 马丁琴（KMS）对称性。有趣的是，发现动态KMS对称性对于量子多体系统的非平衡有效场理论至关重要，被发现具有不错的全息解释。
We construct effective field theory for SU(2) isospin charge diffusion, based on holographic Schwinger-Keldysh contour arXiv:2008.01269. The holographic model consists of a probe SU(2) gauge field in a doubled Schwarzschild-AdS$_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.
