Black Holes and Nonrelativistic Quantum Systems
We describe black holes in d+3 dimensions, whose thermodynamic properties correspond to those of a scale-invariant nonrelativistic (d+1)-dimensional quantum system with a dynamical exponent z=2. The gravitational model involves a massive Abelian vector field and a scalar field, in addition to the me...
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American Physical Society
2010
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在线阅读: | http://hdl.handle.net/1721.1/51771 |
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author | Nickel, Marcel Dominik Johannes Kovtun, Pavel |
author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Nickel, Marcel Dominik Johannes Kovtun, Pavel |
author_sort | Nickel, Marcel Dominik Johannes |
collection | MIT |
description | We describe black holes in d+3 dimensions, whose thermodynamic properties correspond to those of a scale-invariant nonrelativistic (d+1)-dimensional quantum system with a dynamical exponent z=2. The gravitational model involves a massive Abelian vector field and a scalar field, in addition to the metric. The energy per particle in the dual theory is |μ|d/(d+2) at any temperature (μ is the chemical potential). The ratio of shear viscosity to entropy density is ℏ/4π in any dimension d≥2. |
first_indexed | 2024-09-23T16:07:56Z |
format | Article |
id | mit-1721.1/51771 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T16:07:56Z |
publishDate | 2010 |
publisher | American Physical Society |
record_format | dspace |
spelling | mit-1721.1/517712022-10-02T06:33:43Z Black Holes and Nonrelativistic Quantum Systems Nickel, Marcel Dominik Johannes Kovtun, Pavel Massachusetts Institute of Technology. Center for Theoretical Physics Nickel, Marcel Dominik Johannes Nickel, Marcel Dominik Johannes We describe black holes in d+3 dimensions, whose thermodynamic properties correspond to those of a scale-invariant nonrelativistic (d+1)-dimensional quantum system with a dynamical exponent z=2. The gravitational model involves a massive Abelian vector field and a scalar field, in addition to the metric. The energy per particle in the dual theory is |μ|d/(d+2) at any temperature (μ is the chemical potential). The ratio of shear viscosity to entropy density is ℏ/4π in any dimension d≥2. NSERC of Canada German Research Foundation (DFG) Department of Energy 2010-02-17T16:36:39Z 2010-02-17T16:36:39Z 2009-01 2008-09 Article http://purl.org/eprint/type/JournalArticle 0031-9007 http://hdl.handle.net/1721.1/51771 Kovtun, Pavel , and Dominik Nickel. “Black Holes and Nonrelativistic Quantum Systems.” Physical Review Letters 102.1 (2009): 011602. © 2009 The American Physical Society. en_US http://dx.doi.org/10.1103/PhysRevLett.102.011602 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
spellingShingle | Nickel, Marcel Dominik Johannes Kovtun, Pavel Black Holes and Nonrelativistic Quantum Systems |
title | Black Holes and Nonrelativistic Quantum Systems |
title_full | Black Holes and Nonrelativistic Quantum Systems |
title_fullStr | Black Holes and Nonrelativistic Quantum Systems |
title_full_unstemmed | Black Holes and Nonrelativistic Quantum Systems |
title_short | Black Holes and Nonrelativistic Quantum Systems |
title_sort | black holes and nonrelativistic quantum systems |
url | http://hdl.handle.net/1721.1/51771 |
work_keys_str_mv | AT nickelmarceldominikjohannes blackholesandnonrelativisticquantumsystems AT kovtunpavel blackholesandnonrelativisticquantumsystems |