Abstract
We perform a systematic, large-scale lattice simulation of D0-brane quantum mechanics. The large- and continuum limits of the gauge theory are taken for the first time at various temperatures . As a way to test the gauge/gravity duality conjecture we compute the internal energy of the black hole as a function of the temperature directly from the gauge theory. We obtain a leading behavior that is compatible with the supergravity result : the coefficient is estimated to be when the exponent is fixed and stringy corrections are included. This is the first confirmation of the supergravity prediction for the internal energy of a black hole at finite temperature coming directly from the dual gauge theory. We also constrain stringy corrections to the internal energy.
6 More- Received 8 July 2016
DOI:https://doi.org/10.1103/PhysRevD.94.094501
© 2016 American Physical Society