Recent Developments in Dual Lattice Algorithms

We review recent progress in numerical simulations with dually transformed SU(2) LGT, starting with a discussion of explicit dual amplitudes and algorithms for SU(2) pure Yang Mills in D = 3 and D = 4. In the D = 3 case, we discuss results that validate the dual algorithm against conventional simulations. We also review how a local, exact dynamical fermion algorithm can naturally be incorporated into the dual framework. We conclude with an outlook for this technique and a look at some of the current challenges we’ve encountered with this method, specifically critical slowing down and the sign problem.