paper

Reflection Positivity and Monotonicity

arXiv:0705.0712 · doi:10.1063/1.2907660

Abstract

We prove general reflection positivity results for both scalar fields and Dirac fields on a Riemannian manifold, and comment on applications to quantum field theory. As another application, we prove the inequality between Dirichlet and Neumann covariance operators on a manifold with a reflection.

11 pages

Reflection Positivity and Monotonicity · wovepaper