Lattice Simulations of 10d Yang-Mills in Toroidal Compatification
Toroidally compactified Yang-Mills theory on the lattice is studied by using the Hybrid Monte Carlo algorithm. When the compact dimensions are small, the theory naturally reduces to Yang-Mills with scalars. I'll compare YM lattice simulations for pure gauge theory to analytic results in 0+1 and SYM simulations in 1+1d. I'll close by talking about the prospects of performing real-time quantum black hole simulations from the gauge theory side.