FUNCTIONAL DETERMINANTS ON SPHERES AND SECTORS

被引:43
作者
DOWKER, JS
机构
[1] Department of Theoretical Physics, University of Manchester
关键词
D O I
10.1063/1.530826
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The scalar functional determinants on sectors of the two-dimensional disc and spherical cap are determined for arbitrary angles (rational factors of pi). The whole sphere and hemisphere expressions are also given, in low dimensions, for both the ordinary and the conformal Laplacian.
引用
收藏
页码:4989 / 4999
页数:11
相关论文
共 26 条
[11]   FUNCTIONAL DETERMINANTS ON REGIONS OF THE PLANE AND SPHERE [J].
DOWKER, JS .
CLASSICAL AND QUANTUM GRAVITY, 1994, 11 (03) :557-565
[12]   CONFORMAL TRANSFORMATIONS AND THE EFFECTIVE ACTION IN THE PRESENCE OF BOUNDARIES [J].
DOWKER, JS ;
SCHOFIELD, JP .
JOURNAL OF MATHEMATICAL PHYSICS, 1990, 31 (04) :808-818
[13]   EFFECTIVE ACTION IN SPHERICAL DOMAINS [J].
DOWKER, JS .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 162 (03) :633-647
[14]  
DOWKER JS, 1986, PHYS REV, V36, P1111
[15]  
GILLET H, 1992, TOPOLOGY, V30, P21
[17]   GENERALIZED TWO-DIMENSIONAL QED AND FUNCTIONAL DETERMINANTS [J].
HORTACSU, M ;
ROTHE, KD ;
SCHROER, B .
PHYSICAL REVIEW D, 1979, 20 (12) :3203-3212
[18]  
KAMENSHCHIK YA, 1992, INT J MOD PHYS A, V7, P3265
[19]   ANOMALIES OF THE FREE LOOP WAVE-EQUATION IN THE WKB APPROXIMATION [J].
LUSCHER, M ;
SYMANZIK, K ;
WEISZ, P .
NUCLEAR PHYSICS B, 1980, 173 (03) :365-396
[20]  
MINAKSHISUNDARAM S., 1949, J INDIAN MATH NS, V13, P41