Complex Langevin method applied to the 2D $SU(2)$ Yang-Mills theory
High Energy Physics - Lattice
2015-10-21 v3 High Energy Physics - Theory
Abstract
The complex Langevin method in conjunction with the gauge cooling is applied to the two-dimensional lattice Yang-Mills theory that is analytically solvable. We obtain strong numerical evidence that at large Langevin time the expectation value of the plaquette variable converges, but to a wrong value when the complex phase of the gauge coupling is large.
Cite
@article{arxiv.1503.00417,
title = {Complex Langevin method applied to the 2D $SU(2)$ Yang-Mills theory},
author = {Hiroki Makino and Hiroshi Suzuki and Daisuke Takeda},
journal= {arXiv preprint arXiv:1503.00417},
year = {2015}
}
Comments
10 pages, 7 figures, the final version to appear in Physical Review D