Beating Monte Carlo: The Polynomial Method in Lattice Problems

Christian Scullard | 19-DR-013

Executive Summary

In order to address long-standing questions in the study of phase transitions, we will extend a newly developed method for performing calculations for lattice models. While early versions of this method have significantly outperformed the Monte Carlo method in two-dimensional calculations, a new version extended to three dimensions could be applied to critical calculations in lattice quantum chromodynamics in support of national missions and would be a monumental achievement in the field of physics.