Fock Representation of Gravitational Boundary Modes and the Discreteness of the Area Spectrum

W. Wieland

DOI:10.1007/s00023-017-0598-6

Corpus ID: 119037991

Fock Representation of Gravitational Boundary Modes and the Discreteness of the Area Spectrum

@article{Wieland2017FockRO,
  title={Fock Representation of Gravitational Boundary Modes and the Discreteness of the Area Spectrum},
  author={W. Wieland},
  journal={Annales Henri Poincar{\'e}},
  year={2017},
  volume={18},
  pages={3695-3717}
}

W. Wieland

Published 2017

Physics

Annales Henri Poincaré

In this article, we study the quantum theory of gravitational boundary modes on a null surface. These boundary modes are given by a spinor and a spinor-valued two-form, which enter the gravitational boundary term for self-dual gravity. Using a Fock representation, we quantise the boundary fields and show that the area of a two-dimensional cross section turns into the difference of two number operators. The spectrum is discrete, and it agrees with the one known from loop quantum gravity with the… CONTINUE READING

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