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   -> Volume 3, Issue 13

Preprint: Simulation of Field Theories in Wavelet Representation
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Peter Suranyi

PostPosted: Mon Dec 02, 2002 1:19 pm    
Subject: Preprint: Simulation of Field Theories in Wavelet Representation
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Preprint: Simulation of Field Theories in Wavelet Representation

Title: Simulation of Field Theories in Wavelet Representation,
Authors: I.G. Halliday and P. Suranyi
Address: Department of Physics, University of Wales, Swansea SA2 8PP,
United Kingdom.
Format: Swansea preprint SWAT/35, Submitted to Nuclear Physics.
The field is expanded in a wavelet series and the wavelet
coefficients are varied in a simulation of the 2D $phi^4$ field theory.
The drastically reduced autocorrelations result in a substantial
decrease of computing requirements, compared to those in
local Metropolis simulations. A large part of the improvement
is shown to be the result of an additional freedom in the choice of
the allowed range of change at the Metropolis update of wavelet components,
namely the range can be optimized independently for all wavelet sizes.

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