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Proof of a quantum Bousso bound

Raphael Bousso1,2, Horacio Casini3,4, Zachary Fisher1,2, and Juan Maldacena4

  • 1Center for Theoretical Physics and Department of Physics, University of California, Berkeley, California 94720, USA
  • 2Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
  • 3Centro Atómico Bariloche, 8400 Bariloche, Río Negro, Argentina
  • 4Institute for Advanced Study, Princeton, New Jersey 08540, USA

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Phys. Rev. D 90, 044002 – Published 1 August, 2014

DOI: https://doi.org/10.1103/PhysRevD.90.044002

Abstract

We prove the generalized covariant entropy bound, ΔS≤(A−A′)/4Gℏ, for light-sheets with initial area A and final area A′. The entropy ΔS is defined as a difference of von Neumann entropies of an arbitrary state and the vacuum, with both states restricted to the light-sheet under consideration. The proof applies to free fields, in the limit where gravitational backreaction is small. We do not assume the null energy condition. In regions where it is violated, we find that the bound is protected by the defining property of light-sheets: that their null generators are nowhere expanding.

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See Also

Entropy on a null surface for interacting quantum field theories and the Bousso bound

Raphael Bousso, Horacio Casini, Zachary Fisher, and Juan Maldacena
Phys. Rev. D 91, 084030 (2015)

Article Text

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Phys. Rev. D 90, 044002– Published 1 August, 2014
  • Received 8 May 2014

© 2014 American Physical Society

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