Continuous Time Monte Carlo for Lattice QCD in the Strong Coupling Limit

Understand

We present results for lattice QCD with staggered fermions 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 achieved by sending both the anisotropy parameter $\gamma^2\simeq a/\at$ and the number of time-slices $N_\tau$ to infinity, keeping the ratio $\gamma^2/N_\tau \simeq aT$ fixed.
• In this limit, ambiguities arising from the anisotropy parameter $\gamma$ are eliminated and discretization errors usually introduced by a finite temporal lattice extent $\Nt$ are absent.
• The obvious gain is that no continuum extrapolation $N_\tau \rightarrow \infty$ has to be carried out.