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Reflection positivity and monotonicity

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.2907660· OSTI ID:21100280
;  [1]
  1. Harvard University, 17 Oxford St., Cambridge, Massachusetts 02138 (United States)
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 C{sub D}{<=}C{sub N} between Dirichlet and Neumann covariance operators on a manifold with a reflection.
OSTI ID:
21100280
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 5 Vol. 49; ISSN JMAPAQ; ISSN 0022-2488
Country of Publication:
United States
Language:
English

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