Existence of positive representations for complex weights

Details Existence of positive representations for complex weights Existence of positive representations for complex weights

2007-06-29

arxiv.org/abs/0706.4359v1

J.Phys.A40:9399,2007

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages, no figures. To appear in J.Phys.A

Scientific paper

10.1088/1751-8113/40/31/016

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, _P = _p, f(z) being the analytical extension of f(x). The construction is extended to arbitrary compact Lie groups.

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