Wavelet-induced renormalization group for the Landau-Ginzburg model
C. Best · 1999
INTRODUCTION Daubechies' wavelets[1,2] are an orthonormal basis that explicitly separates scales. The basis functions are generated from a single set of functions t (x) by dyadic dilatations and translations. Each basis function is expressed as (n) t (x 0 )(x) = 2 nD=2 t (2 n (x x 0 )) ; (1) where n 2 Z is the scale, x 0 2 L n the position on a grid L n = (2 n Z) D with spacing 2 n , and t = 1; : : : ; n t = 2 D 1 determines how the D-dimensional wavelet is composed o