Built on

K. G. Wilson and J. B. Kogut, “The Renormalization group and the epsilon expansion,” Phys. Rept
1974
Earlier work this paper cites.
A. Zee, “Spontaneously Generated Gravity,” Phys. Rev
Original
1981
Earlier work this paper cites.
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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.
I. Affleck and A. W. W. Ludwig, “Universal noninteger ’ground state degeneracy’ in critical quantum systems,” Phys. Rev. Lett
1991
Earlier work this paper cites.
L. Randall and R. Sundrum, “An Alternative to compactification,” Phys. Rev. Lett
1999
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.
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2018

Irreversibility in quantum field theories with boundaries

Casini, Horacio, Landea, Ignacio Salazar, Torroba, Gonzalo

Understand

We study conformal field theories with boundaries, and their boundary renormalization group (RG) flows, using methods from quantum information theory.

Positivity of the relative entropy, together with unitarity and Lorentz invariance, give rise to bounds that characterize the irreversibility of such flows.
This generalizes the recently proved entropic $g$-theorem to higher dimensions.
In $2+1$ dimensions with a boundary, we prove the entropic $b$-theorem -- the decrease of the two-dimensional Weyl anomaly under boundary RG flows.

Built on

K. G. Wilson and J. B. Kogut, “The Renormalization group and the epsilon expansion,” Phys. Rept
1974
Earlier work this paper cites.
A. Zee, “Spontaneously Generated Gravity,” Phys. Rev
Original
1981
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.
I. Affleck and A. W. W. Ludwig, “Universal noninteger ’ground state degeneracy’ in critical quantum systems,” Phys. Rev. Lett
1991
Earlier work this paper cites.
L. Randall and R. Sundrum, “An Alternative to compactification,” Phys. Rev. Lett
1999
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.
D. Friedan and A. Konechny, “On the boundary entropy of one-dimensional quantum systems at low temperature,” Phys. Rev. Lett
2004
Earlier work this paper cites.
A. Schwimmer and S. Theisen, “Entanglement Entropy, Trace Anomalies and Holography,” Nucl. Phys
Original
2008
Earlier work this paper cites.
P. Calabrese and J. Cardy, “Entanglement entropy and conformal field theory,” J. Phys
Original
2009
Earlier work this paper cites.