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Wavelet-induced renormalization group for the Landau-Ginzburg model

Christoph Best
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Abstract

The scale hierarchy of wavelets provides a natural frame for renormalization. Expanding the order parameter of the Landau-Ginzburg/$Φ^4$ 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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Christoph Best. 1999-09-23. Wavelet-induced renormalization group for the Landau-Ginzburg model. https://doi.org/10.1016/s0920-5632(00)91823-1

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