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Reflection Positivity and Monotonicity

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2008

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American Institute of Physics
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Jaffe, Arthur, and Gordon Ritter. 2008. Reflection positivity and monotonicity. Journal of Mathematical Physics 49(5): 052301.

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Abstract

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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black holes, Dirac equation, mathematical operators, quantum field theory, space-time configurations

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