Global stationary phase and the sign problem

Moreira, André G. and Baeurle, Stephan A. and Fredrickson, Glenn H. (2003) Global stationary phase and the sign problem. PHYSICAL REVIEW LETTERS, 91 (15): 150201. ISSN 0031-9007, 1079-7114

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Abstract

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.

Item Type: Article
Uncontrolled Keywords: MONTE-CARLO; SIMULATION; SYSTEMS;
Subjects: 500 Science > 540 Chemistry & allied sciences
Divisions: Chemistry and Pharmacy > Institut für Physikalische und Theoretische Chemie
Depositing User: Dr. Gernot Deinzer
Date Deposited: 28 Jul 2021 10:59
Last Modified: 28 Jul 2021 10:59
URI: https://pred.uni-regensburg.de/id/eprint/38520

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