Global stationary phase and the sign problem

We present a computational strategy for reducing the sign problem in the evaluation of high dimensional integrals with nonpositive definite weights whose logarithms are analytic. The method involves stochastic sampling with a positive semidefinite weight that is adaptively and optimally determined d...

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Bibliographic Details
Published in:Physical review letters 2003-10, Vol.91 (15), p.150201-150201, Article 150201
Main Authors: Moreira, André G, Baeurle, Stephan A, Fredrickson, Glenn H
Format: Article
Language:English
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Summary:We present a computational strategy for reducing the sign problem in the evaluation of high dimensional integrals with nonpositive definite weights whose logarithms are analytic. 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 ImS along the sampling path vanishes. Numerical results are presented from simulations of a model adapted from statistical field theories of classical fluids.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.91.150201