New boundary variables for classical and quantum gravity on a null surface
New boundary variables for classical and quantum gravity on a null surface
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零表面上经典引力和量子引力的新边界变量
DOI：
10.1088/1361-6382/aa8d06
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发表时间：
2017
影响因子：
3.5
通讯作者：
W. Wieland
中科院分区：
文献类型：
--
作者：
W. Wieland
研究了具有类光边界流形上自对偶变量的广义相对论协变哈密顿公式。在这个内边界，出现了新的正则变量：一个旋量和一个旋量值二形式，它们编码了零曲面的整个内在几何。在一个二维的横截面的边界，准本地表达式的生成器的二维的非线性同态，时间的翻译，和expanations的零正常的介绍和书面方面的新的边界变量。此外，一个概括的黑洞热力学第一定律的任意零表面被发现，非微扰量子引力的框架的相关性被强调和解释。
The covariant Hamiltonian formulation for general relativity is studied in terms of self-dual variables on a manifold with an internal and lightlike boundary. At this inner boundary, new canonical variables appear: a spinor and a spinor-valued two-form that encode the entire intrinsic geometry of the null surface. At a two-dimensional cross-section of the boundary, quasi-local expressions for the generators of two-dimensional diffeomorphisms, time translations, and dilatations of the null normal are introduced and written in terms of the new boundary variables. In addition, a generalisation of the first-law of black-hole thermodynamics for arbitrary null surfaces is found, and the relevance of the framework for non-perturbative quantum gravity is stressed and explained.