HEAT KERNEL-EXPANSION FOR NONMINIMAL DIFFERENTIAL-OPERATORS AND MANIFOLDS WITH TORSION

被引：40

作者：

GUSYNIN, VP ^{[1
]}

GORBAR, EV ^{[1
]}

ROMANKOV, VV ^{[1
]}

机构：

[1] KHARKOV STATE UNIV,KHARKOV 310077,UKRAINE,USSR

来源：

NUCLEAR PHYSICS B | 1991年 / 362卷 / 1-2期

关键词：

D O I：

10.1016/0550-3213(91)90568-I

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

The recently proposed method for computing DeWitt-Seeley-Gilkey (DWSG) coefficients in the asymptotical heal kernel expansion is extended to the case of manifolds with torsion and nonminimal differential operators. The lowest nontrivial DWSG coefficients are calculated for the second- and fourth-order minimal operators on the Riemann-Cartan manifold with general torsion and for the second-order nonminimal differential operators on riemannian spaces in arbitrary dimensions. In contrast to the second-order minimal operators the coefficients for the nonminimal operators turn out to be essentially dependent on the space dimension.

引用

页码：449 / 471

页数：23

共 32 条

[1] HEAT KERNEL-EXPANSION COEFFICIENT .1. AN EXTENSION [J].