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The massive Feynman propagator on asymptotically Minkowski spacetimes II

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arxiv 1806.05076 v1 pith:7S7VPHWW submitted 2018-06-13 math.AP math-phmath.MP

classification math.APmath-phmath.MP
keywords feynmanasymptoticallyconditionsinverseklein-gordonmassiveminkowskispacetimes
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We consider the massive Klein-Gordon equation on short-range asymptotically Minkowski spacetimes. Extending our results in [GW1], we show that the Klein-Gordon operator with Feynman type boundary conditions at infinite times is invertible and that its inverse, called the Feynman inverse, satisfies the microlocal conditions of Feynman parametrices in the sense of Duistermaat and H\"ormander. This supplements the recent work of Vasy with more explicit techniques.

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  1. Relating the modular Hamiltonian to two-point functions

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    For free scalar fields in any Gaussian state, the modular Hamiltonian restricted to a region is determined by the equal-time two-point functions X and Π via M=Π^{1/2}B^{-1}arcoth(2B)Π^{1/2}, N=Π^{-1/2}B arcoth(2B)Π^{-...

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