The α3/2 heat kernel coefficient for oblique boundary conditions

被引:26
作者
Dowker, JS [1 ]
Kirsten, K
机构
[1] Univ Manchester, Dept Theoret Phys, Manchester M13 9PL, Lancs, England
[2] Univ Leipzig, Inst Theoret Phys, D-04109 Leipzig, Germany
关键词
D O I
10.1088/0264-9381/16/6/322
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present a method for the calculation of the a(3/2) heat kernel coefficient of the heat operator trace for a partial differential operator of Laplace type on a compact Riemannian manifold with oblique boundary conditions. Using special case evaluations, restrictions are put on the general form of the coefficients, which, supplemented by conformal transformation techniques, allows the entire smeared coefficient to be determined.
引用
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页码:1917 / 1936
页数:20
相关论文
共 43 条
[31]  
Gilkey P.B., 1995, Stud. Adv. Math., V2nd
[32]  
GILKEY PB, 1976, J DIFFER GEOM, V10, P601
[33]   ASYMPTOTIC EXPANSION FOR HEAT EQUATION [J].
GREINER, P .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1971, 41 (03) :163-&
[34]  
HAWKINGS SW, 1973, LARGE SCALE STRUCTUR
[35]   The α5 heat kernel coefficient on a manifold with boundary [J].
Kirsten, K .
CLASSICAL AND QUANTUM GRAVITY, 1998, 15 (02) :L5-L12
[36]   A diffeomorphism-invariant eigenvalue problem for metric perturbations in a bounded region [J].
Marachevsky, VN ;
Vassilevich, DV .
CLASSICAL AND QUANTUM GRAVITY, 1996, 13 (04) :645-652
[37]   A DEWITT EXPANSION OF THE HEAT KERNEL FOR MANIFOLDS WITH A BOUNDARY [J].
MCAVITY, DM ;
OSBORN, H .
CLASSICAL AND QUANTUM GRAVITY, 1991, 8 (04) :603-638
[38]   ASYMPTOTIC-EXPANSION OF THE HEAT KERNEL FOR GENERALIZED BOUNDARY-CONDITIONS [J].
MCAVITY, DM ;
OSBORN, H .
CLASSICAL AND QUANTUM GRAVITY, 1991, 8 (08) :1445-1454
[39]   ERST-invariant boundary conditions for gauge theories [J].
Moss, IG ;
Silva, PJ .
PHYSICAL REVIEW D, 1997, 55 (02) :1072-1078
[40]   THE CORRECT B4 COEFFICIENT [J].
MOSS, IG ;
DOWKER, JS .
PHYSICS LETTERS B, 1989, 229 (03) :261-263