Black hole thermodynamics from simulations of lattice Yang-Mills theory

By Simon Catterall, T. Wiseman. 2008

178 citations recorded by the source corpus.

We report on lattice simulations of 16 supercharge SU(N) Yang-Mills quantum mechanics in the 't Hooft limit. Maldacena duality conjectures that in this limit the theory is dual to IIA string theory, and, in particular, that the behavior of the thermal theory at low temperature is equivalent to that of certain black holes in IIA supergravity. Our simulations probe the low temperature regime for N{<=}5 and the intermediate and high temperature regimes for N{<=}12. We observe 't Hooft scaling, and at low temperatures our results are consistent with the dual black hole prediction. The intermediate temperature range is dual to the Horowitz-Polchinski correspondence region, and our results are consistent with continuous behavior there. We include the Pfaffian phase arising from the fermions in our calculations where appropriate.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d74ae018cf414b165129f1537b5583bb754291e6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. M. Unsal
2. D. Kaplan
3. Simon Catterall

In Nuclear and High Energy Physics

1. Simon Catterall
2. M. Unsal
3. D. Kaplan
4. G. Dunne
5. I. Low
6. T. Wiseman
7. Daniele Dorigoni
8. P. Argyres

Citations in the corpus

• Exact lattice supersymmetry (2008, methodology): “Studies of the 16 supercharge model using this action have have been initiated in [45, 44].”
• Comments on string theory backgrounds with non-relativistic conformal symmetry (2008, unknown): “In this case the gravity results were compared with numerical simulations in [45, 46].”