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H. Casini, M. Huerta, J. M. Magán and D. Pontello, “Entanglement entropy and superselection sectors I. Global symmetries,” arXiv:1905.10487 [hep-th]
Original
1905
Earlier work this paper cites.
J. Camps, “The Parts of the Gravitational Field,” arXiv:1905.10121 [hep-th]
Original
1905
Earlier work this paper cites.
J. S. Dowker, “Note on the entanglement entropy of higher spins in four dimensions,” arXiv:1908.04870 [hep-th]
Original
1908
Earlier work this paper cites.
T. Regge and J. A. Wheeler, “Stability of a Schwarzschild singularity,” Phys. Rev. 108
1957
Earlier work this paper cites.
C. W. Misner, K. S. Thorne and J. A. Wheeler, “Gravitation,” W. H. Freeman and Company, San Francisco 1973, 1279p
1973
Earlier work this paper cites.
K. S. Thorne, “Multipole Expansions of Gravitational Radiation,” Rev. Mod. Phys. 52
1980
Earlier work this paper cites.
S. Weinberg and E. Witten, “Limits on Massless Particles,” Phys. Lett. 96B
1980
Earlier work this paper cites.
M. Srednicki, “Entropy and area,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
D. V. Vassilevich, “One loop quantum gravity on de Sitter space,” Int. J. Mod. Phys. A 8
1993
Earlier work this paper cites.
D. V. Fursaev and G. Miele, “Cones, spins and heat kernels,” Nucl. Phys. B 484
1997
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech. 0406
2004
Earlier work this paper cites.
H. Casini and M. Huerta, “Entanglement and alpha entropies for a massive scalar field in two dimensions,” J. Stat. Mech. 0512
2005
Earlier work this paper cites.

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2019

Entanglement entropy of linearized gravitons in a sphere

Benedetti, Valentin, Casini, Horacio

Understand

We compute the entanglement entropy of a massless spin $2$ field in a sphere in flat Minkowski space.

We describe the theory with a linearized metric perturbation field $h_{\mu\nu}$ and decompose it in tensor spherical harmonics.
We fix the gauge such that a) the two dynamical modes for each angular momentum decouple and have the dynamics of scalar spherical modes, and b) the gauge-fixed field degrees of freedom inside the sphere represent gauge invariant operators of the theory localized in the same region.
In this way the entanglement entropy turns out to be equivalent to the one of a pair of free massless scalars where the contributions of the $l=0$ and $l=1$ modes have been subtracted.

Built on

H. Casini, M. Huerta, J. M. Magán and D. Pontello, “Entanglement entropy and superselection sectors I. Global symmetries,” arXiv:1905.10487 [hep-th]
Original
1905
Earlier work this paper cites.
J. Camps, “The Parts of the Gravitational Field,” arXiv:1905.10121 [hep-th]
Original
1905
Earlier work this paper cites.
J. S. Dowker, “Note on the entanglement entropy of higher spins in four dimensions,” arXiv:1908.04870 [hep-th]
Original
1908
Earlier work this paper cites.
T. Regge and J. A. Wheeler, “Stability of a Schwarzschild singularity,” Phys. Rev. 108
1957
Earlier work this paper cites.
C. W. Misner, K. S. Thorne and J. A. Wheeler, “Gravitation,” W. H. Freeman and Company, San Francisco 1973, 1279p
1973
Earlier work this paper cites.
K. S. Thorne, “Multipole Expansions of Gravitational Radiation,” Rev. Mod. Phys. 52
1980
Earlier work this paper cites.
S. Weinberg and E. Witten, “Limits on Massless Particles,” Phys. Lett. 96B
1980
Earlier work this paper cites.
M. Srednicki, “Entropy and area,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
D. V. Vassilevich, “One loop quantum gravity on de Sitter space,” Int. J. Mod. Phys. A 8
1993
Earlier work this paper cites.
D. V. Fursaev and G. Miele, “Cones, spins and heat kernels,” Nucl. Phys. B 484
1997
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech. 0406
2004
Earlier work this paper cites.
H. Casini and M. Huerta, “Entanglement and alpha entropies for a massive scalar field in two dimensions,” J. Stat. Mech. 0512
2005
Earlier work this paper cites.