TY - JOUR

T1 - Quantum information and gravity cutoff in theories with species

AU - Dvali, Gia

AU - Gomez, Cesar

N1 - Funding Information:
We would like to thank Luis Alvarez Gaume, Jose Barbon, Andrei Barvinski, Eliezer Rabinovici, Gabriele Veneziano for useful discussions. The work of G.D. is supported in part by David and Lucile Packard Foundation Fellowship for Science and Engineering, NSF grant PHY-0245068 and by the European Commission under the “MassTeV” ERC Advanced Grant 226371. The work of C.G. has been partially supported by the Spanish DGI contract FPA2003-02877 and the CAM grant HEPHACOS P-ESP-00346. This work was initiated during the TH Institute “Black Holes: A landscape of theoretical problems”. One of us (C.G.) would like to thank CERN-Th for hospitality and partial support.

PY - 2009/4/27

Y1 - 2009/4/27

N2 - 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 quantum information theory. First, this scale marks the limiting capacity of any information processor. Secondly, by taking into the account the limitations of the quantum information storage in any system with species, the bound on the gravity cutoff becomes equivalent to the holographic bound, and this equivalence automatically implies the equality of entanglement and Bekenstein-Hawking entropies. Next, the same bound follows from quantum cloning theorem. Finally, we point out that by identifying the UV and IR threshold scales of the black hole quasi-classicality in four-dimensional field and high dimensional gravity theories, the bound translates as the correspondence between the two theories. In case when the high dimensional background is AdS, this reproduces the well-known AdS/CFT relation, but also suggests a generalization of the correspondence beyond AdS spaces. In particular, it reproduces a recently suggested duality between a four-dimensional CFT and a flat five-dimensional theory, in which gravity crosses over from four to five dimensional regime in far infrared.

AB - 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 quantum information theory. First, this scale marks the limiting capacity of any information processor. Secondly, by taking into the account the limitations of the quantum information storage in any system with species, the bound on the gravity cutoff becomes equivalent to the holographic bound, and this equivalence automatically implies the equality of entanglement and Bekenstein-Hawking entropies. Next, the same bound follows from quantum cloning theorem. Finally, we point out that by identifying the UV and IR threshold scales of the black hole quasi-classicality in four-dimensional field and high dimensional gravity theories, the bound translates as the correspondence between the two theories. In case when the high dimensional background is AdS, this reproduces the well-known AdS/CFT relation, but also suggests a generalization of the correspondence beyond AdS spaces. In particular, it reproduces a recently suggested duality between a four-dimensional CFT and a flat five-dimensional theory, in which gravity crosses over from four to five dimensional regime in far infrared.

UR - http://www.scopus.com/inward/record.url?scp=63749094295&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=63749094295&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2009.03.024

DO - 10.1016/j.physletb.2009.03.024

M3 - Article

AN - SCOPUS:63749094295

VL - 674

SP - 303

EP - 307

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 4-5

ER -