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The Fermionic Signature Operator and Quantum States in Rindler Space-Time

Felix Finster University of Regensburg, Harvard University Simone Murro University of Regensburg Christian Röken University of Regensburg

Publications of CMSA of Harvard mathscidoc:1702.38012

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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@inproceedings{felixthe,
  title={The Fermionic Signature Operator and Quantum States in Rindler Space-Time},
  author={Felix Finster, Simone Murro, and Christian Röken},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170207000944876461212},
}
Felix Finster, Simone Murro, and Christian Röken. The Fermionic Signature Operator and Quantum States in Rindler Space-Time. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170207000944876461212.
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