Title

Extracting Black Hole Physics from the Lattice

Author(s)/Creator(s)

Simon Catterall, Syracuse UniversityFollow
Toby Wiseman, Imperial College

Document Type

Article

Date

9-27-2009

Language

English

Disciplines

Physics

Description/Abstract

We perform lattice simulations of N D0-branes at finite temperature in the decoupling limit, namely 16 supercharge SU(N) Yang-Mills quantum mechanics in the 't Hooft limit. At low temperature this theory is conjectured to be dual to certain supergravity black holes. We emphasize that the existence of a non-compact moduli space renders the partition function of the quantum mechanics theory divergent, and we perform one loop calculations that demonstrate this explicitly. In consequence we use a scalar mass term to regulate this divergence and argue that the dual black hole thermodynamics may be recovered in the appropriate large N limit as the regulator is removed. We report on simulations for N up to 5 including the Pfaffian phase, and N up to 12 in the phase quenched approximation. Interestingly, in the former case, where we may calculate this potentially difficult phase, we find that it appears to play little role dynamically over the temperature range tested, which is certainly encouraging for future simulations of this theory.

Additional Information

36 pages, 7 figures More information at http://arxiv.org/abs/0909.4947

Recommended Citation

Catterall, Simon and Wiseman, Toby, "Extracting Black Hole Physics from the Lattice" (2009). Physics - All Scholarship. 440.
https://surface.syr.edu/phy/440

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.