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Newton-Cartan limit of Klein-Gordon AQFT: gravitational atoms and the loss of vacuum entanglement
We take the non-relativistic limit $c\to\infty$ of the free Klein-Gordon field on static spacetimes at three levels: one-particle resolvents, quasi-free states and the time-zero net. After subtraction of the rest energy, the one-particle Hamiltonian is an explicit function of a Schrödinger-type oper
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