Built on

M. Hotta, T. Kato, and K. Nagata, “A Comment on geometric entropy and conical space,” Class.Quant.Grav
1925
Earlier work this paper cites.
S. Giombi and I. R. Klebanov, “Interpolating between a a and F F ,” JHEP
Original
1937
Earlier work this paper cites.
L. S. Brown and J. C. Collins, “Dimensional Renormalization of Scalar Field Theory in Curved Space-time,” Annals Phys
1980
Earlier work this paper cites.
A. Zamolodchikov, “Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory,” JETP Lett
1986
Earlier work this paper cites.
J. L. Cardy, “Is There a c Theorem in Four-Dimensions?,” Phys.Lett
1988
Earlier work this paper cites.
M. Srednicki, “Entropy and area,” Phys.Rev.Lett
1993
Earlier work this paper cites.
D. N. Kabat and M. Strassler, “A Comment on entropy and area,” Phys.Lett
1994
Earlier work this paper cites.
J. Callan, Curtis G. and F. Wilczek, “On geometric entropy,” Phys.Lett
1994
Earlier work this paper cites.
L. Susskind and J. Uglum, “Black hole entropy in canonical quantum gravity and superstring theory,” Phys. Rev. D
1994
Earlier work this paper cites.
D. N. Kabat, “Black hole entropy and entropy of entanglement,” Nucl.Phys
1995
Earlier work this paper cites.
D. V. Fursaev and S. N. Solodukhin, “On the description of the Riemannian geometry in the presence of conical defects,” Phys.Rev
1995
Earlier work this paper cites.
F. Larsen and F. Wilczek, “Renormalization of black hole entropy and of the gravitational coupling constant,” Nucl.Phys
1996
Earlier work this paper cites.
S. N. Solodukhin, “Nonminimal coupling and quantum entropy of black hole,” Phys.Rev
1997
Earlier work this paper cites.
D. Vassilevich, “Heat kernel expansion: User’s manual,” Phys.Rept
2003
Earlier work this paper cites.
H. Casini and M. Huerta, “A Finite entanglement entropy and the c-theorem,” Phys.Lett
2004
Earlier work this paper cites.

Similar

S. N. Solodukhin, “Entanglement entropy, conformal invariance and extrinsic geometry,” Phys.Lett
Original
2008
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M. A. Metlitski, C. A. Fuertes, and S. Sachdev, “Entanglement entropy in the O(N) model,” Phys. Rev. B
2009
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R. C. Myers and A. Sinha, “Seeing a c-theorem with holography,” Phys.Rev
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2010
Cited alongside, same era.
R. Lohmayer, H. Neuberger, A. Schwimmer, and S. Theisen, “Numerical determination of entanglement entropy for a sphere,” Phys. Lett
Original
2010
Cited alongside, same era.
Z. Komargodski and A. Schwimmer, “On Renormalization Group Flows in Four Dimensions,” JHEP
Original
2011

Then

O. Ben-Ami, D. Carmi, and J. Sonnenschein, “Holographic Entanglement Entropy of Multiple Strips,” JHEP
Original
2014
Later among the works it cites.
V. Rosenhaus and M. Smolkin, “Entanglement Entropy Flow and the Ward Identity,” Phys.Rev.Lett
Original
2014
Later among the works it cites.
V. Rosenhaus and M. Smolkin, “Entanglement Entropy: A Perturbative Calculation,” JHEP
Original
2014
Later among the works it cites.
V. Rosenhaus and M. Smolkin, “Entanglement entropy, planar surfaces, and spectral functions,” JHEP
Original
2014
Later among the works it cites.
T. Nishioka, “Relevant Perturbation of Entanglement Entropy and Stationarity,” Phys.Rev
Original

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2015

Entanglement and RG in the $O(N)$ vector model

Akers, Chris, Ben-Ami, Omer, Rosenhaus, Vladimir et al.

Understand

We consider the large $N$ interacting vector $O(N)$ model on a sphere in $4-\epsilon$ Euclidean dimensions.

The Gaussian theory in the UV is taken to be either conformally or non-conformally coupled.
The endpoint of the RG flow corresponds to a conformally coupled scalar field at the Wilson-Fisher fixed point.
We take a spherical entangling surface in de Sitter space and compute the entanglement entropy everywhere along the RG trajectory.

Built on

M. Hotta, T. Kato, and K. Nagata, “A Comment on geometric entropy and conical space,” Class.Quant.Grav
1925
Earlier work this paper cites.
S. Giombi and I. R. Klebanov, “Interpolating between a a and F F ,” JHEP
Original
1937
Earlier work this paper cites.
L. S. Brown and J. C. Collins, “Dimensional Renormalization of Scalar Field Theory in Curved Space-time,” Annals Phys
1980
Earlier work this paper cites.
A. Zamolodchikov, “Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory,” JETP Lett
1986
Earlier work this paper cites.
J. L. Cardy, “Is There a c Theorem in Four-Dimensions?,” Phys.Lett
1988
Earlier work this paper cites.
M. Srednicki, “Entropy and area,” Phys.Rev.Lett
1993
Earlier work this paper cites.
D. N. Kabat and M. Strassler, “A Comment on entropy and area,” Phys.Lett
1994
Earlier work this paper cites.
J. Callan, Curtis G. and F. Wilczek, “On geometric entropy,” Phys.Lett
1994
Earlier work this paper cites.
L. Susskind and J. Uglum, “Black hole entropy in canonical quantum gravity and superstring theory,” Phys. Rev. D
1994
Earlier work this paper cites.
D. N. Kabat, “Black hole entropy and entropy of entanglement,” Nucl.Phys
1995
Earlier work this paper cites.
D. V. Fursaev and S. N. Solodukhin, “On the description of the Riemannian geometry in the presence of conical defects,” Phys.Rev
1995
Earlier work this paper cites.
F. Larsen and F. Wilczek, “Renormalization of black hole entropy and of the gravitational coupling constant,” Nucl.Phys
1996
Earlier work this paper cites.
S. N. Solodukhin, “Nonminimal coupling and quantum entropy of black hole,” Phys.Rev
1997
Earlier work this paper cites.
D. Vassilevich, “Heat kernel expansion: User’s manual,” Phys.Rept
2003
Earlier work this paper cites.
H. Casini and M. Huerta, “A Finite entanglement entropy and the c-theorem,” Phys.Lett
2004
Earlier work this paper cites.