Reflection Positivity and Monotonicity

Details Reflection Positivity and Monotonicity Reflection Positivity and Monotonicity

2007-05-04

arxiv.org/abs/0705.0712v2

J.Math.Phys.49:052301,2008

Physics

Mathematical Physics

11 pages

Scientific paper

10.1063/1.2907660

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.

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