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Entanglement Entropy: A Perturbative Calculation · Around

2014

Entanglement Entropy: A Perturbative Calculation

Rosenhaus, Vladimir, Smolkin, Michael

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We provide a framework for a perturbative evaluation of the reduced density matrix.

The method is based on a path integral in the analytically continued spacetime.
It suggests an alternative to the holographic and `standard' replica trick calculations of entanglement entropy.
We implement this method within solvable field theory examples to evaluate leading order corrections induced by small perturbations in the geometry of the background and entangling surface.

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J. JBisognano and E. H. Wichmann, J. Math. Phys. 16
1976
Earlier work this paper cites.
D. N. Kabat and M. J. Strassler, Phys. Lett. B 329
1994
Earlier work this paper cites.
C. G. Callan and F. Wilczek, Phys. Lett. B 333
1995
Earlier work this paper cites.
S. N. Solodukhin, Phys. Rev. D 51
1995
Earlier work this paper cites.
H. Osborn and A. C. Petkos, Annals Phys. 231
1997
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, J. Stat. Mech. 0406
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, JHEP 0608
2006
Earlier work this paper cites.
D. V. Fursaev, JHEP 0609
2006
Earlier work this paper cites.

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