FUNCTIONAL DETERMINANTS ON REGIONS OF THE PLANE AND SPHERE

Authors
DOWKER JS
Citation
Js. Dowker, FUNCTIONAL DETERMINANTS ON REGIONS OF THE PLANE AND SPHERE, Classical and quantum gravity, 11(3), 1994, pp. 557-565
Citations number
16
Categorie Soggetti
Physics
Journal title
Classical and quantum gravity → ACNP
ISSN journal
02649381
Volume
11
Issue
3
Year of publication
1994
Pages
557 - 565
Database
ISI
SICI code
0264-9381(1994)11:3<557:FDOROT>2.0.ZU;2-3
Abstract
The standard formula for the change in the effective action under a co nformal transformation is extended to the case when the boundary is pi ecewise smooth. We then determine the functional determinants on regio ns of the plane obtained by stereographic projection of the fundamenta l 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.