2007/05/09 by Arthur Jaffe, Gordon Ritter
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math-ph #math.AP #math.DG #math.FA #math.MP #msc:20F55 #msc:58J05 #msc:81Q10 #msc:81Q70 #msc:81T08 #msc:81T20
paper · pdf · doi:10.1063/1.2907660
published as J.Math.Phys.49:052301,2008 · 11 pages
arxiv created 2007/05/09 · openalex publication_date 2008/05/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We prove general reflection positivity results on Riemannian manifolds for both scalar fields and Dirac fields, and comment on applications to quantum field theory. As another application, we prove the inequality CD⩽CN between Dirichlet and Neumann covariance operators on a manifold with a reflection.