Reflection positivity and monotonicity
Abstract
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.
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- May 2008
- DOI:
- 10.1063/1.2907660
- arXiv:
- arXiv:0705.0712
- Bibcode:
- 2008JMP....49e2301J
- Keywords:
-
- Mathematical Physics;
- Mathematics - Analysis of PDEs;
- Mathematics - Differential Geometry;
- Mathematics - Functional Analysis;
- 81T20;
- 81T08;
- 58J05;
- 81Q10;
- 81Q70;
- 20F55
- E-Print:
- 11 pages