Reflection Positivity and Monotonicity
Mathematical Physics
2008-11-26 v2 Analysis of PDEs
Differential Geometry
Functional Analysis
math.MP
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.
Keywords
Cite
@article{arxiv.0705.0712,
title = {Reflection Positivity and Monotonicity},
author = {Arthur Jaffe and Gordon Ritter},
journal= {arXiv preprint arXiv:0705.0712},
year = {2008}
}