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- W4378627855 abstract "This paper deals with several issues concerning the algebraic quantization of the real Proca field in a globally hyperbolic spacetime and the definition and existence of Hadamard states for that field. In particular, extending previous work, we construct the so-called Mo ller $*$-isomorphism between the algebras of Proca observables on paracausally related spacetimes, proving that the pullback of these isomorphisms preserves the Hadamard property of corresponding quasifree states defined on the two spacetimes. Then, we pull-back a natural Hadamard state constructed on ultrastatic spacetimes of bounded geometry, along this $*$-isomorphism, to obtain a Hadamard state on a general globally hyperbolic spacetime. We conclude the paper, by comparing the definition of a Hadamard state, here given in terms of wavefront set, with the one proposed by Fewster and Pfenning, which makes use of a supplementary Klein-Gordon Hadamard form. We establish an (almost) complete equivalence of the two definitions." @default.
- W4378627855 created "2023-05-29" @default.
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- W4378627855 date "2023-05-29" @default.
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- W4378627855 title "The Quantization of Proca Fields on Globally Hyperbolic Spacetimes: Hadamard States and Møller Operators" @default.
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- W4378627855 doi "https://doi.org/10.1007/s00023-023-01326-w" @default.
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