Heat kernel expansion for nonminimal differential operators and manifolds with torsion

Oct, 1990
23 pages
Published in:
  • Nucl.Phys.B 362 (1991) 449-471
  • Published: 1991
Report number:
  • ITF-90-64E

Citations per year

1991199920072015202301234
Abstract: (Elsevier)
The recently proposed method for computing DeWitt-Seeley-Gilkey (DWSG) coefficients in the asymptotical heat 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.
  • expansion: heat kernel
  • space-time: torsion
  • mathematical methods