dorsal/arxiv
View SchemaGlobal Stationary Phase and the Sign Problem
| Authors | A G Moreira, S A Baeurle, G H Fredrickson |
|---|---|
| Categories | |
| ArXiv ID | physics/0304086 |
| URL | https://arxiv.org/abs/physics/0304086 |
| DOI | 10.1103/PhysRevLett.91.150201 |
Abstract
We present a computational strategy for reducing the sign problem in the evaluation of high dimensional integrals with non-positive definite weights. The method involves stochastic sampling with a positive semidefinite weight that is adaptively and optimally determined during the course of a simulation. The optimal criterion, which follows from a variational principle for analytic actions S(z), is a global stationary phase condition that the average gradient of the phase Im(S) along the sampling path vanishes. Numerical results are presented from simulations of a model adapted from statistical field theories of classical fluids.
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"abstract": "We present a computational strategy for reducing the sign problem in the\nevaluation of high dimensional integrals with non-positive definite weights.\nThe method involves stochastic sampling with a positive semidefinite weight\nthat is adaptively and optimally determined during the course of a simulation.\nThe optimal criterion, which follows from a variational principle for analytic\nactions S(z), is a global stationary phase condition that the average gradient\nof the phase Im(S) along the sampling path vanishes. Numerical results are\npresented from simulations of a model adapted from statistical field theories\nof classical fluids.",
"arxiv_id": "physics/0304086",
"authors": [
"A G Moreira",
"S A Baeurle",
"G H Fredrickson"
],
"categories": [
"physics.comp-ph"
],
"doi": "10.1103/PhysRevLett.91.150201",
"title": "Global Stationary Phase and the Sign Problem",
"url": "https://arxiv.org/abs/physics/0304086"
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