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2018

Entropy distribution of localised states

Longo, Roberto

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We study the geometric distribution of the relative entropy of a charged localised state in Quantum Field Theory.

With respect to translations, the second derivative of the vacuum relative entropy is zero out of the charge localisation support and positive in mean over the support of any single charge.
For a spatial strip, the asymptotic mean entropy density is $\pi E$, with $E$ the corresponding vacuum charge energy.
In a conformal QFT, for a charge in a ball of radius $r$, the relative entropy is non linear, the asymptotic mean radial entropy density is $\pi E$ and Bekenstein's bound is satisfied.

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H. Epstein, V. Glaser, A. Jaffe
1965
Earlier work this paper cites.
S. Doplicher, R. Haag, J.E. Roberts
1971
Earlier work this paper cites.
H. Araki
1973
Earlier work this paper cites.
A. Connes
1973
Earlier work this paper cites.
S. Doplicher, R. Haag, J.E. Roberts
1974
Earlier work this paper cites.
J. Bisognano, E. Wichmann
1975
Earlier work this paper cites.
H. Araki
1976
Earlier work this paper cites.
A. Connes, E. Størmer
1978
Earlier work this paper cites.
J. D. Bekenstein
1981
Earlier work this paper cites.
E. Witten
1981
Earlier work this paper cites.
D. Buchholz, K. Fredenhagen
1982
Earlier work this paper cites.
P.D. Hislop, R. Longo
1982
Earlier work this paper cites.
R. Longo
1982
Earlier work this paper cites.
V. F. R. Jones
1983
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