Gravity and the noncommutative residue for manifolds with boundary

被引：50
|
作者：
Wang, Yong [1 ]
机构：
[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China
[2] Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R China
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2007年 / 80卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
noncommutative residue for manifolds with boundary; gravitational action for manifolds with boundary;
D O I：
10.1007/s11005-007-0147-1
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove a Kastler-Kalau-Walze type theorem for the Dirac operator and the signature operator for 3, 4-dimensional manifolds with boundary. As a corollary, we give two kinds of operator-theoretic explanations of the gravitational action in the case of 4-dimensional manifolds with flat boundary.
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页码：37 / 56
页数：20
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