Area Law Saturation of Entropy Bound from Perturbative Unitarity in Renormalizable Theories

@article{Dvali2019AreaLS,
  title={Area Law Saturation of Entropy Bound from Perturbative Unitarity in Renormalizable Theories},
  author={G. Dvali},
  journal={arXiv: High Energy Physics - Theory},
  year={2019}
}
  • G. Dvali
  • Published 2019
  • Physics
  • arXiv: High Energy Physics - Theory
We study the quantum information storage capacity of solitons and baryons in renormalizable quantum field theories that do not include gravity. We observe that a 't Hooft-Polyakov magnetic monopole saturates the Bekenstein bound on information when the theory saturates the bound on perturbative unitarity. In this very limit the monopole entropy assumes the form of an area-law, strikingly similar to a black hole entropy in gravity. The phenomenon appears universal and takes place for other… Expand
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References

SHOWING 1-10 OF 36 REFERENCES
Quantum information and gravity cutoff in theories with species
Abstract We show that lowering of the gravitational cutoff relative to the Planck mass, imposed by black hole physics in theories with N species, has an independent justification from quantumExpand
Black Hole's Quantum N-Portrait
We establish a quantum measure of classicality in the form of the occupation number, $N$, of gravitons in a gravitational field. This allows us to view classical background geometries as quantumExpand
Gauge Theory Correlators from Non-Critical String Theory
Abstract We suggest a means of obtaining certain Green's functions in 3+1-dimensional N =4 supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory. TheExpand
Area law microstate entropy from criticality and spherical symmetry
It is often assumed that the area law of microstate entropy and the holography are intrinsic properties exclusively of the gravitational systems, such as black holes. We construct a nongravitationalExpand
Black hole bound on the number of species and quantum gravity at CERN LHC
In theories with a large number N of particle species, black hole physics imposes an upper bound on the mass of the species equal to M-Planck/root N. This bound suggests a novel solution to theExpand
Black Holes and Large N Species Solution to the Hierarchy Problem
We provide the perturbative and non-perturbative arguments showing that theories with large number of species of the quantum fields, imply an inevitable hierarchy between the masses of the speciesExpand
Black holes and entropy
There are a number of similarities between black-hole physics and thermodynamics. Most striking is the similarity in the behaviors of black-hole area and of entropy: Both quantities tend to increaseExpand
Anti-de Sitter space and holography
Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product ofExpand
Black holes as critical point of quantum phase transition
  • G. Dvali, C. Gómez
  • Physics, Medicine
  • The European physical journal. C, Particles and fields
  • 2014
TLDR
It is shown that black holes can be understood as a graviton Bose–Einstein condensate at the critical point of a quantum phase transition, identical to what has been observed in systems of cold atoms. Expand
The Large N limit of superconformal field theories and supergravity
We show that the large-N limits of certainconformal field theories in various dimensions includein their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes,Expand
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