Wavelet-induced renormalization group for the Landau-Ginzburg model

Details Wavelet-induced renormalization group for the Landau-Ginzburg model Wavelet-induced renormalization group for the Landau-Ginzburg model

1999-09-23

arxiv.org/abs/hep-lat/9909151v1

Nucl.Phys.Proc.Suppl. 83 (2000) 848-850

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE99(Renormalization), LaTeX, 3 pages

Scientific paper

The scale hierarchy of wavelets provides a natural frame for renormalization. Expanding the order parameter of the Landau-Ginzburg/$\Phi^4$ model in a basis of compact orthonormal wavelets explicitly exhibits the coupling between scales that leads to non-trivial behavior. The locality properties of Daubechies' wavelets enable us to derive the qualitative renormalization flow of the Landau-Ginzburg model from Gaussian fluctuations in wavelet space.

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