Explicit positive representation for weights on $R^d$
High Energy Physics - Lattice
2018-04-18 v1
Abstract
It is an old idea to replace averages of observables with respect to a complex weight by expectation values with respect to a genuine probability measure on complexified space. This is precisely what one would like to get from complex Langevin simulations. Unfortunately, these fail in many cases of physical interest. We will describe method of deriving positive representations by matching of moments and show simple examples of successful constructions. It will be seen that the problem is greatly underdetermined.
Cite
@article{arxiv.1710.04318,
title = {Explicit positive representation for weights on $R^d$},
author = {Błażej Ruba and Adam Wyrzykowski},
journal= {arXiv preprint arXiv:1710.04318},
year = {2018}
}
Comments
8 pages, 3 figures. Material presented in Lattice 2017 conference in Granada