Elementary proof of symmetry of the off-diagonal Seeley-DeWitt (and related Hadamard) coefficients

Abstract

We will prove in an elementary way that off-diagonal Seeley-DeWitt and Hadamard coefficients are (sesqui-)symmetric for smooth manifolds of arbitrary signature.

arXiv comment11 pages, no figures

References in corpus (1)

• Covariant methods for the calculation of the effective action in quantum field theory and investigation of higher-derivative quantum gravity

Cited by in corpus (2)

• Heat kernel coefficients for massive gravity
• Hadamard states for bosonic quantum field theory on globally hyperbolic spacetimes