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Black holes and nonrelativistic quantum systems
1Department of Physics and Astronomy, University of Victoria, Victoria BC, V8P 5C2, Canada.
Physical Review Letters
|March 5, 2009
Summary
Researchers explored black holes in higher dimensions, revealing thermodynamic properties linked to a quantum system. This study connects gravity theories with quantum mechanics, offering insights into fundamental physics.
Area of Science:
- Theoretical Physics
- Quantum Gravity
- Thermodynamics
Background:
- Black holes in higher dimensions offer a unique framework to study quantum gravity.
- Scale-invariant quantum systems exhibit universal behaviors relevant to condensed matter and high-energy physics.
Purpose of the Study:
- To investigate the thermodynamic properties of black holes in d+3 dimensions.
- To establish a connection between these black hole properties and a nonrelativistic quantum system with a dynamical exponent z=2.
Main Methods:
- The study employs a gravitational model including a metric, a massive Abelian vector field, and a scalar field.
- Thermodynamic properties are analyzed in d+3 dimensions.
Main Results:
- The thermodynamic properties of the described black holes match a scale-invariant nonrelativistic (d+1)-dimensional quantum system with z=2.
- The energy per particle in the dual theory is found to be |micro|d/(d+2) at any temperature.
- The ratio of shear viscosity to entropy density is consistently Planck's over 2pi/4pi for d >= 2.
Conclusions:
- A holographic duality is demonstrated between specific black hole solutions and nonrelativistic quantum systems.
- The findings provide a new perspective on the interplay between gravity and quantum mechanics in diverse dimensions.
- This work offers a framework for studying quantum critical phenomena using gravitational analogues.
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