A DeWitt expansion of the heat kernel for manifolds with a boundary
A DeWitt expansion of the heat kernel for manifolds with a boundary
The DeWitt (DW) expansion of the heat kernel GDelta (x, x'; tau ), for a second order elliptic differential operator Delta is extended to manifolds with a boundary. The boundary conditions are satisfied by including an additional term to the usual DW contribution appropriate for manifolds without a boundary, which …