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J. L. F. Barbon and C. A. Fuertes, “A Note on the extensivity of the holographic entanglement entropy,” JHEP 0805
Original
1928
Earlier work this paper cites.
M. Creutz, Quarks, gluons and lattices
1985
Earlier work this paper cites.
L. Bombelli, R. K. Koul, J. Lee, and R. D. Sorkin, Phys. Rev. D34, 373 (1986)
1986
Earlier work this paper cites.
M. Srednicki, “Entropy and area,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
D. N. Page, “Average entropy of a subsystem,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
G. ’t Hooft, “Dimensional reduction in quantum gravity,” [arXiv:gr-qc/9310026]; L. Susskind, “The World as a hologram,” J. Math. Phys. 36
1995
Earlier work this paper cites.
J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1999
Earlier work this paper cites.
I. Peschel, “Calculation of reduced density matrices from correlation functions,” J. Phys. A: Math. Gen. 36
2000
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.
H. Casini, C. D. Fosco and M. Huerta, “Entanglement and alpha entropies for a massive Dirac field in two dimensions,” J. Stat. Mech. 0507
2005
Earlier work this paper cites.

Similar

S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Cited alongside, same era.
V. E. Hubeny, M. Rangamani and T. Takayanagi, “A Covariant holographic entanglement entropy proposal,” JHEP 0707
Original
2007
Cited alongside, same era.
T. Nishioka and T. Takayanagi, “AdS Bubbles, Entropy and Closed String Tachyons,” JHEP 0701
2007
Cited alongside, same era.
T. Azeyanagi, T. Nishioka and T. Takayanagi, “Near Extremal Black Hole Entropy as Entanglement Entropy via AdS(2)/CFT(1),” Phys. Rev. D 77
Original
2008
Cited alongside, same era.
I. R. Klebanov, D. Kutasov and A. Murugan, “Entanglement as a probe of confinement,” Nucl. Phys. B 796
Original
2008
Cited alongside, same era.

Then

M. Headrick, “Entanglement Renyi entropies in holographic theories,” Phys. Rev. D 82
Original
2010
Later among the works it cites.
W. Li and T. Takayanagi, “Holography and Entanglement in Flat Spacetime,” Phys. Rev. Lett. 106
Original
2011
Later among the works it cites.
N. Shiba, “Entanglement Entropy of Two Black Holes and Entanglement Entropic Force,” Phys. Rev. D 83
Original
2011
Later among the works it cites.
M. Nozaki, S. Ryu and T. Takayanagi, “Holographic Geometry of Entanglement Renormalization in Quantum Field Theories,” JHEP 1210
Original
2012
Later among the works it cites.
N. Shiba, “Entanglement Entropy of Two Spheres,” JHEP 1207
Original

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2013

Volume Law for the Entanglement Entropy in Non-local QFTs

Shiba, Noburo, Takayanagi, Tadashi

Understand

In this paper, we present a simple class of non-local field theories whose ground state entanglement entropy follows a volume law as long as the size of subsystem is smaller than a certain scale.

We will confirm this volume law both from numerical calculations and from analytical estimation.
This behavior fits nicely with holographic results for spacetimes whose curvatures are much smaller than AdS spaces such as those in the flat spacetime.

Built on

J. L. F. Barbon and C. A. Fuertes, “A Note on the extensivity of the holographic entanglement entropy,” JHEP 0805
Original
1928
Earlier work this paper cites.
M. Creutz, Quarks, gluons and lattices
1985
Earlier work this paper cites.
L. Bombelli, R. K. Koul, J. Lee, and R. D. Sorkin, Phys. Rev. D34, 373 (1986)
1986
Earlier work this paper cites.
M. Srednicki, “Entropy and area,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
D. N. Page, “Average entropy of a subsystem,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
G. ’t Hooft, “Dimensional reduction in quantum gravity,” [arXiv:gr-qc/9310026]; L. Susskind, “The World as a hologram,” J. Math. Phys. 36
1995
Earlier work this paper cites.
J. M. Maldacena, “The large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1999
Earlier work this paper cites.
I. Peschel, “Calculation of reduced density matrices from correlation functions,” J. Phys. A: Math. Gen. 36
2000
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.
H. Casini, C. D. Fosco and M. Huerta, “Entanglement and alpha entropies for a massive Dirac field in two dimensions,” J. Stat. Mech. 0507
2005
Earlier work this paper cites.