FUNCTIONAL DETERMINANTS ON REGIONS OF THE PLANE AND SPHERE

被引：20

作者：

DOWKER, JS

机构：

[1] Department of Theoretical Physics, University of Manchester, Manchester

来源：

CLASSICAL AND QUANTUM GRAVITY | 1994年 / 11卷 / 03期

关键词：

D O I：

10.1088/0264-9381/11/3/010

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The standard formula for the change in the effective action under a conformal transformation is extended to the case when the boundary is piecewise smooth. We then determine the functional determinants on regions of the plane obtained by stereographic projection of the fundamental domains on the orbifolded 2-sphere. Examples treated are the sector of a disk and a circular crescent. The effective action on a spherical cap is also found.

引用

页码：557 / 565

页数：9

共 16 条

[1] THEORY OF STRINGS WITH BOUNDARIES - FLUCTUATIONS, TOPOLOGY AND QUANTUM GEOMETRY [J].