The α5 heat kernel coefficient on a manifold with boundary

被引:31
作者
Kirsten, K [1 ]
机构
[1] Univ Leipzig, Inst Theoret Phys, D-04109 Leipzig, Germany
关键词
D O I
10.1088/0264-9381/15/2/001
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present the calculation of the ns heat kernel coefficient of the heat operator trace for a partial differential operator of Laplace type on a compact Riemannian manifold with Dirichlet and Robin boundary conditions.
引用
收藏
页码:L5 / L12
页数:8
相关论文
共 34 条
[1]   B8 HAMIDEW COEFFICIENT FOR A SCALAR FIELD [J].
AMSTERDAMSKI, P ;
BERKIN, AL ;
OCONNOR, DJ .
CLASSICAL AND QUANTUM GRAVITY, 1989, 6 (12) :1981-1991
[2]   A COVARIANT TECHNIQUE FOR THE CALCULATION OF THE ONE-LOOP EFFECTIVE ACTION [J].
AVRAMIDI, IG .
NUCLEAR PHYSICS B, 1991, 355 (03) :712-754
[3]   New invariants in the 1-loop divergences on manifolds with boundary [J].
Avramidi, IG ;
Esposito, G .
CLASSICAL AND QUANTUM GRAVITY, 1998, 15 (02) :281-297
[4]  
AVRAMIDI IG, UNPUB A 5 2 COEFFICI
[5]   LARGE-MASS EXPANSIONS FOR ONE-LOOP EFFECTIVE ACTIONS AND FERMION CURRENTS [J].
BALL, R ;
OSBORN, H .
NUCLEAR PHYSICS B, 1986, 263 (02) :245-264
[6]   THE WAVE-FUNCTION AND THE EFFECTIVE ACTION IN QUANTUM COSMOLOGY - COVARIANT LOOP EXPANSION [J].
BARVINSKY, AO .
PHYSICS LETTERS B, 1987, 195 (03) :344-348
[7]  
Birrell N.D., 1982, QUANTUM FIELDS CURVE
[8]   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
[9]   Heat-kernels and functional determinants on the generalized cone [J].
Bordag, M ;
Kirsten, K ;
Dowker, S .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 182 (02) :371-393
[10]   THE ASYMPTOTICS OF THE LAPLACIAN ON A MANIFOLD WITH BOUNDARY [J].
BRANSON, TP ;
GILKEY, PB .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1990, 15 (02) :245-272