论文标题
拓扑巨大重力中的无效热力学
Null Surface Thermodynamics in Topologically Massive Gravity
论文作者
论文摘要
我们研究了在存在通用的编成一个无效边界的情况下,研究三维拓扑巨大的重力(TMG)。边界的存在是通过通过自由度扩大理论的希尔伯特空间来解释的,而自由度仅位于边界,即边界的自由度。该理论的解相位空间除了TMG的批量大量手性吸引力外,还涉及边界模式,这些模式由与大差异大的表面电荷标记。我们展示了自由度的边界度遵守解决方案相空间上的局部热力学描述,无效的热力学,由第一定律的局部版本描述,局部吉布斯 - 杜希姆方程和局部零零法。由于边界的扩展以及散装模式通过边界的通过,我们的无效热力学描述了一个开放的边界系统,该系统通常是从热平衡中出现的。
We study three dimensional topologically massive gravity (TMG) in presence of a generic codimension one null boundary. The existence of the boundary is accounted for by enlarging the Hilbert space of the theory by degrees of freedom which only reside at the boundary, the boundary degrees of freedom. The solution phase space of this theory in addition to bulk massive chiral gravitons of the TMG, involves boundary modes which are labeled by surface charges associated with large diffeomorphisms. We show boundary degrees of freedom obey a local thermodynamic description over the solution phase space, null surface thermodynamics, described by a local version of the first law, a local Gibbs-Duhem equation, and local zeroth law. Due to the expansion of the boundary and also the passage of the bulk mode through the boundary, our null surface thermodynamics describes an open boundary system that is generically out of thermal equilibrium.