2024-03-28T19:54:22Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/203872016-02-16T06:11:49Zcom_10261_49com_10261_4col_10261_175
Quantum information and gravity cutoff in theories with species
Dvali, Gia
Gómez, César
5 pages.-- Pre-print archive.
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.
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.
Peer reviewed
2010-01-27T12:14:11Z
2010-01-27T12:14:11Z
2009-04-27
artículo
http://purl.org/coar/resource_type/c_6501
Physics Letters - Section B 674(4-5): 3030-307 (2009)
0370-2693
http://hdl.handle.net/10261/20387
10.1016/j.physletb.2009.03.024
en
http://dx.doi.org/10.1016/j.physletb.2009.03.024
open
167168 bytes
application/pdf
Elsevier