Affiliation:
1. University of Colorado
2. Los Alamos National Laboratory Theoretical Division T-2
3. University of Washington
Abstract
We discuss various formal aspects of contour deformations used to alleviate sign problems; most importantly, relating these contour deformations to a certain convex optimization problem. As a consequence of this connection we describe a general method for proving upper bounds on the average phase achievable by the contour deformation method. Using this method we show that Abelian lattice Yang-Mills in two spacetime dimensions possesses, for many values of the complex coupling, an exponential sign problem that cannot be removed via any contour deformation.
Published by the American Physical Society
2024
Funder
U.S. Department of Energy
Los Alamos National Laboratory
National Nuclear Security Administration
Publisher
American Physical Society (APS)