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The Fermionic Signature Operator and Quantum States in Rindler Space-Time
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The Fermionic Signature Operator and Quantum States in Rindler Space-Time
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The fermionic signature operator is constructed in Rindler space-time. It is shown to be an unbounded self-adjoint operator on the Hilbert space of solutions of the massive Dirac equation. In two-dimensional Rindler space-time, we prove that the resulting fermionic projector state coincides with the Fulling-Rindler vacuum. Moreover, the fermionic signature operator gives a covariant construction of general thermal states, in particular of the Unruh state. The fermionic signature operator is shown to be well-defined in asymptotically Rindler space-times. In four-dimensional Rindler space-time, our construction gives rise to new quantum states.
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Cited by 1 Pith paper
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The Fermionic Signature Operator in the Reissner-Nordstr\"om Geometry in Horizon-Penetrating Coordinates
Proves mass decomposition theorem for spacetime inner product via fermionic signature and flux operators for Dirac equation in Reissner-Nordström spacetime in horizon-penetrating coordinates, computes spectra, constru...
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