Heat-kernels and functional determinants on the generalized cone

被引:120
作者
Bordag, M [1 ]
Kirsten, K [1 ]
Dowker, S [1 ]
机构
[1] UNIV MANCHESTER,DEPT THEORET PHYS,MANCHESTER M13 9PL,LANCS,ENGLAND
关键词
D O I
10.1007/BF02517895
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider zeta functions and heat-kernel expansions on the bounded, generalized cone in arbitrary dimensions using an improved calculational technique. The specific case of a global monopole is analysed in detail and some restrictions thereby placed on the A(5/2) coefficient. The computation of functional determinants is also addressed. General formulas are given and known results are incidentally, and rapidly, reproduced.
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页码:371 / 393
页数:23
相关论文
共 38 条
[1]  
ABRAMOWITZ M, NBS APPLIED MATH SER, V55
[2]  
Barnes E., 1904, T CAMBRIDGE PHILOS S, V19, P374
[3]  
Barnes E. W., 1903, T CAMB PHILOS SOC, V19, P426
[4]   GRAVITATIONAL-FIELD OF A GLOBAL MONOPOLE [J].
BARRIOLA, M ;
VILENKIN, A .
PHYSICAL REVIEW LETTERS, 1989, 63 (04) :341-343
[5]   ONE-LOOP QUANTUM COSMOLOGY - ZETA-FUNCTION TECHNIQUE FOR THE HARTLE-HAWKING WAVE-FUNCTION OF THE UNIVERSE [J].
BARVINSKY, AO ;
KAMENSHCHIK, AY ;
KARMAZIN, IP .
ANNALS OF PHYSICS, 1992, 219 (02) :201-242
[6]   Heat kernel coefficients of the Laplace operator on the D-dimensional ball [J].
Bordag, M ;
Elizalde, E ;
Kirsten, K .
JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (02) :895-916
[7]   Zeta function determinant of the laplace operator on the D-dimensional ball [J].
Bordag, M ;
Geyer, B ;
Kirsten, K ;
Elizalde, E .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 179 (01) :215-234
[8]   VACUUM ENERGY IN SMOOTH BACKGROUND FIELDS [J].
BORDAG, M .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (03) :755-765
[9]  
BRANSON T, HEPTH9504029
[10]   HEAT-EQUATION ASYMPTOTICS FOR SINGULAR STURM-LIOUVILLE OPERATORS [J].
BRUNING, J .
MATHEMATISCHE ANNALEN, 1984, 268 (02) :173-196