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- W2953963597 abstract "The presented work contains a new construction of a class of distinguished quasifree states for the scalar field and Proca field on globally hyperbolic spacetimes. Our idea is based on the axiomatic construction of the Sorkin-Johnston (SJ) state cite{Sorkin:2017fcp}; we call these states emph{generalised SJ states}. We give a concrete application of this framework with the construction of the `thermal' SJ state. By slightly modifying the construction of generalised SJ states, we also introduce a new class of Hadamard states, which we call emph{generalised SJ states with softened boundaries}. We show when these states satisfy the Hadamard condition and compute the Wick polynomials. Finally we construct the SJ and Brum-Fredenhagen (BF) states for the Proca field on ultrastatic slabs with compact spatial sections. We show that the SJ state construction fails for the Proca field, yet the BF state is well defined and, moreover, satisfies the Hadamard condition." @default.
- W2953963597 created "2019-07-12" @default.
- W2953963597 creator A5088390531 @default.
- W2953963597 date "2018-01-01" @default.
- W2953963597 modified "2023-09-27" @default.
- W2953963597 title "Generalised Sorkin-Johnston and Brum-Fredenhagen States for Quantum Fields on Curved Spacetimes" @default.
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