Variational description of statistical field theories using Daubechies' wavelets
High Energy Physics - Lattice
2008-02-03 v1 comp-gas
Cellular Automata and Lattice Gases
Abstract
We investigate the description of statistical field theories using Daubechies' orthonormal compact wavelets on a lattice. A simple variational approach is used to extend mean field theory and make predictions for the fluctuation strengths of wavelet coefficients and thus for the correlation function. The results are compared to Monte Carlo simulations. We find that wavelets provide a reasonable description of critical phenomena with only a small number of variational parameters. This lets us hope for an implementation of the renormalization group in wavelet space.
Cite
@article{arxiv.hep-lat/9402012,
title = {Variational description of statistical field theories using Daubechies' wavelets},
author = {Christoph Best and Andreas Schaefer},
journal= {arXiv preprint arXiv:hep-lat/9402012},
year = {2008}
}
Comments
21pp, LaTeX with Postscript figures