Effective Potential for Complex Langevin Equations
High Energy Physics - Lattice
2009-09-01 v1 Statistical Mechanics
High Energy Physics - Theory
Abstract
We construct an effective potential for the complex Langevin equation on a lattice. We show that the minimum of this effective potential gives the space-time and Langevin time average of the complex Langevin field. The loop expansion of the effective potential is matched with the derivative expansion of the associated Schwinger-Dyson equation to predict the stationary distribution to which the complex Langevin equation converges.
Cite
@article{arxiv.0902.1503,
title = {Effective Potential for Complex Langevin Equations},
author = {Gerald Guralnik and Cengiz Pehlevan},
journal= {arXiv preprint arXiv:0902.1503},
year = {2009}
}
Comments
23 pages, 2 figures