# Reflection Positivity and Monotonicity

 Title: Reflection Positivity and Monotonicity Author: Ritter, Gordon; Jaffe, Arthur Michael Note: Order does not necessarily reflect citation order of authors. Citation: Jaffe, Arthur, and Gordon Ritter. 2008. Reflection positivity and monotonicity. Journal of Mathematical Physics 49(5): 052301. Full Text & Related Files: 0705.0712v2.pdf (181.7Kb; PDF) 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 $$C_D \leq C_N$$ between Dirichlet and Neumann covariance operators on a manifold with a reflection. Published Version: doi:10.1063/1.2907660 Other Sources: http://arxiv.org/abs/0705.0712 Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:8152136 Downloads of this work: