Wavelets as a variational basis of the XY model

Details Wavelets as a variational basis of the XY model Wavelets as a variational basis of the XY model

1993-11-22

arxiv.org/abs/hep-lat/9311031v1

Nucl.Phys.Proc.Suppl. 34 (1994) 780-782

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, postscript. Contribution to the Lattice 93 workshop (Dallas, Texas, October 1993)

Scientific paper

10.1016/0920-5632(94)90512-6

We use Daubechies' orthonormal compact wavelets as a variational basis for the $XY$ model in two and three dimensions. Assuming that the fluctuations of the wavelet coefficients are Gaussian and uncorrelated, minimization of the free energy yields the fluctuation strength of wavelet coefficients at different scales, from which observables can be computed. This model is able to describe the low-temperature phase and makes a prediction about the phase transition temperature.

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