Continuous time Monte Carlo for lattice QCD in the strong coupling limit

Abstract

We present results for lattice QCD in the limit of infinite gauge coupling, obtained from a worm-type Monte Carlo algorithm on a discrete spatial lattice but with continuous Euclidean time. This is obtained by sending both the anisotropy parameter γ2 ≃ a/at and the number of time-slices Nτ to infinity, keeping the ratio γ2/Nτ ≃ aT fixed. The obvious gain is that no continuum extrapolation Nτ → ∞ has to be carried out. Moreover, the algorithm is faster and the sign problem disappears. We compare our computations with those on discrete lattices. We determine the phase diagram as a function of temperature and baryon chemical potential.