Existence of positive representations for complex weights
High Energy Physics - Lattice
2008-11-26 v1 Mathematical Physics
math.MP
Abstract
The necessity of computing integrals with complex weights over manifolds with a large number of dimensions, e.g., in some field theoretical settings, poses a problem for the use of Monte Carlo techniques. Here it is shown that very general complex weight functions P(x) on R^d can be represented by real and positive weights p(z) on C^d, in the sense that for any observable f, <f(x)>_P = <f(z)>_p, f(z) being the analytical extension of f(x). The construction is extended to arbitrary compact Lie groups.
Cite
@article{arxiv.0706.4359,
title = {Existence of positive representations for complex weights},
author = {L. L. Salcedo},
journal= {arXiv preprint arXiv:0706.4359},
year = {2008}
}