Simulations with complex measure

A method is proposed to handle the sign problem in the simulation of systems having indefinite or complex-valued measures. In general, this new approach, which is based on renormalisation blocking, is shown to yield statistical errors smaller than the crude Monte Carlo method using absolute values o...

Full description

Saved in:
Bibliographic Details
Published in:Nuclear physics. B 1998-04, Vol.516 (3), p.729-743
Main Authors: Markham, J.F., Kieu, T.D.
Format: Article
Language:English
Subjects:
Complex-valued measure
Ising model
Monte Carlo
Numerical simulation
Sign problem
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A method is proposed to handle the sign problem in the simulation of systems having indefinite or complex-valued measures. In general, this new approach, which is based on renormalisation blocking, is shown to yield statistical errors smaller than the crude Monte Carlo method using absolute values of the original measures. The improved method is applied to the 2D Ising model with temperature generalised to take on complex values. It is also adapted to implement Monte Carlo Renormalisation Group calculations of the magnetic and thermal critical exponents.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(97)00831-6