Jaffe, ArthurRitter, Gordon2012-02-102008Jaffe, Arthur, and Gordon Ritter. 2008. Reflection positivity and monotonicity. Journal of Mathematical Physics 49(5): 052301.0022-2488http://nrs.harvard.edu/urn-3:HUL.InstRepos:8152136We 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.en-USblack holesDirac equationmathematical operatorsquantum field theoryspace-time configurationsJournal Article2012-02-1010.1063/1.2907660