Built on

A. Zee, “Spontaneously Generated Gravity,” Phys. Rev
1981
Earlier work this paper cites.
P. D. Hislop and R. Longo, “Modular Structure of the Local Algebras Associated With the Free Massless Scalar Field Theory,” Commun. Math. Phys
1982
Earlier work this paper cites.
S. L. Adler, “Einstein Gravity as a Symmetry Breaking Effect in Quantum Field Theory,” Rev. Mod. Phys
1983
Earlier work this paper cites.
A. B. Zamolodchikov, “Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory,” JETP Lett
1986
Earlier work this paper cites.
A. Cappelli, D. Friedan, and J. I. Latorre, “C theorem and spectral representation,” Nucl. Phys
Original
1991
Earlier work this paper cites.
V. Vedral, “The role of relative entropy in quantum information theory,” Reviews of Modern Physics
2002
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.
G. Vidal, “Entanglement Renormalization,” Phys. Rev. Lett
2007
Earlier work this paper cites.
Springer Science & Business Media, 2007
D. Petz, Quantum information theory and quantum statistics · 2007
Earlier work this paper cites.
R. C. Myers and A. Sinha, “Seeing a c-theorem with holography,” Phys. Rev
Original
2010
Earlier work this paper cites.

Similar

D. L. Jafferis, I. R. Klebanov, S. S. Pufu, and B. R. Safdi, “Towards the F-Theorem: N=2 Field Theories on the Three-Sphere,” JHEP
Original
2011
Cited alongside, same era.
H. Casini, M. Huerta, and R. C. Myers, “Towards a derivation of holographic entanglement entropy,” JHEP
Original
2011
Cited alongside, same era.
L.-Y. Hung, R. C. Myers, and M. Smolkin, “Some Calculable Contributions to Holographic Entanglement Entropy,” JHEP
Original
2011
Cited alongside, same era.
M. P. Hertzberg and F. Wilczek, “Some Calculable Contributions to Entanglement Entropy,” Phys. Rev. Lett
Original
2011
Cited alongside, same era.
H. Casini and M. Huerta, “On the RG running of the entanglement entropy of a circle,” Phys. Rev

Then

V. Rosenhaus and M. Smolkin, “Entanglement entropy, planar surfaces, and spectral functions,” JHEP
Original
2014
Later among the works it cites.
H. Casini, R. C. Huerta, Marina and, and A. Yale, “Mutual information and the F-theorem,” JHEP
Original
2015
Later among the works it cites.
V. Balasubramanian, J. J. Heckman, and A. Maloney, “Relative Entropy and Proximity of Quantum Field Theories,” JHEP
Original
2015
Later among the works it cites.
H. Casini, F. D. Mazzitelli, and E. Teste, “Area terms in entanglement entropy,” Phys. Rev
Original
2015
Later among the works it cites.
J. Lee, A. Lewkowycz, E. Perlmutter, and B. R. Safdi, “Rényi entropy, stationarity, and entanglement of the conformal scalar,” JHEP

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2016

Relative entropy and the RG flow

Casini, Horacio, Teste, Eduardo, Torroba, Gonzalo

Understand

We consider the relative entropy between vacuum states of two different theories: a conformal field theory (CFT), and the CFT perturbed by a relevant operator.

By restricting both states to the null Cauchy surface in the causal domain of a sphere, we make the relative entropy equal to the difference of entanglement entropies.
As a result, this difference has the positivity and monotonicity properties of relative entropy.
From this it follows a simple alternative proof of the c-theorem in d=2 space-time dimensions and, for d>2, the proof that the coefficient of the area term in the entanglement entropy decreases along the renormalization group (RG) flow between fixed points.

Built on

A. Zee, “Spontaneously Generated Gravity,” Phys. Rev
1981
Earlier work this paper cites.
P. D. Hislop and R. Longo, “Modular Structure of the Local Algebras Associated With the Free Massless Scalar Field Theory,” Commun. Math. Phys
1982
Earlier work this paper cites.
S. L. Adler, “Einstein Gravity as a Symmetry Breaking Effect in Quantum Field Theory,” Rev. Mod. Phys
1983
Earlier work this paper cites.
A. B. Zamolodchikov, “Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory,” JETP Lett
1986
Earlier work this paper cites.
A. Cappelli, D. Friedan, and J. I. Latorre, “C theorem and spectral representation,” Nucl. Phys
Original
1991
Earlier work this paper cites.
V. Vedral, “The role of relative entropy in quantum information theory,” Reviews of Modern Physics
2002
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.
G. Vidal, “Entanglement Renormalization,” Phys. Rev. Lett
2007
Earlier work this paper cites.
Springer Science & Business Media, 2007
D. Petz, Quantum information theory and quantum statistics · 2007
Earlier work this paper cites.
R. C. Myers and A. Sinha, “Seeing a c-theorem with holography,” Phys. Rev
Original
2010
Earlier work this paper cites.