The heat kernel in curved space in terms of classical variables

被引：1

作者：

Martin, L ^{[1
]}

McKeon, DGC ^{[1
]}

机构：

[1] Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 1999年 / 14卷 / 09期

关键词：

D O I：

10.1142/S0217751X99000695

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

Using functional methods introduced by Onofri, the heat kernel matrix element M-xy = (x/e-H-t\y) for an elliptic operator H in curved space is unambiguously represented in terms of functional derivatives of an expression which solely involves classical variables. To illustrate how this can be used, the lowest order term in the Schwinger-DeWitt expansion for M-xx is computed.

引用

页码：1337 / 1344

页数：8

共 50 条

[1] Derivative expansion of the heat kernel in curved space
Salcedo, L. L.
[J]. PHYSICAL REVIEW D, 2007, 76 (04)
[2] Flatten a Curved Space by Kernel
Huang, Qiuyuan
Wu, Dapeng Oliver
[J]. IEEE SIGNAL PROCESSING MAGAZINE, 2013, 30 (05) : 132 - +
[3] ON-DIAGONAL HEAT KERNEL-EXPANSION IN COVARIANT DERIVATIVES IN CURVED SPACE
GUSYNIN, VP
KUSHNIR, VA
[J]. CLASSICAL AND QUANTUM GRAVITY, 1991, 8 (02) : 279 - 285
[4] Classical dynamics on curved Snyder space
Ivetic, B.
Meljanac, S.
Mignemi, S.
[J]. CLASSICAL AND QUANTUM GRAVITY, 2014, 31 (10)
[5] The heat kernel on hyperbolic space
Grigor'yan, A
Noguchi, M
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1998, 30 : 643 - 650
[6] BOUNDARY TERMS IN THE HEAT KERNEL-EXPANSION
MOSS, IG
[J]. CLASSICAL AND QUANTUM GRAVITY, 1989, 6 (05) : 759 - 765
[7] HEAT KERNEL AND MODULI SPACE
Liu, Kefeng
[J]. MATHEMATICAL RESEARCH LETTERS, 1996, 3 (06) : 743 - 762
[8] A NEW DIRECT METHOD FOR HEAT KERNEL-EXPANSION IN CURVED SPACE AND THE RESUMMED FORM OF NONDERIVATIVE TERM
XU, DY
[J]. ACTA PHYSICA SINICA-OVERSEAS EDITION, 1994, 3 (09): : 641 - 652
[9] An irreducible form for the asymptotic expansion coefficients of the heat kernel of fermions in four-dimensional curved space
Yajima, S
Kubota, SI
Higasida, Y
Fukuda, M
Tokuo, S
Kamo, Y
[J]. CLASSICAL AND QUANTUM GRAVITY, 2006, 23 (04) : 1193 - 1204
[10] EVALUATION OF HEAT KERNELS IN CURVED SPACE
YAJIMA, S
[J]. CLASSICAL AND QUANTUM GRAVITY, 1988, 5 (12) : L207 - L211

← 1 2 3 4 5 →