Recent Developments in Dual Lattice Algorithms

Abstract

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.

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

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• A Dual Non-abelian Yang-Mills Amplitude in Four Dimensions
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Cited by in corpus (4)

• Dual lattice representations for O(N) and CP(N-1) models with a chemical potential
• Abelian color cycles: a new approach to strong coupling expansion and dual representations for non-abelian lattice gauge theory
• Geometric Algorithm for Abelian-Gauge Models
• Dual Non-Abelian Yang-Mills Simulations in Four Dimensions