Recent Developments in Dual Lattice Algorithms

Details Recent Developments in Dual Lattice Algorithms Recent Developments in Dual Lattice Algorithms

2008-10-02

arxiv.org/abs/0810.0546v1

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, talk presented at the XXVI International Symposium on Lattice Field Theory, July 14-19, 2008, Williamsburg, Virginia,

Scientific paper

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.

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