English

Wavelet-induced renormalization group for the Landau-Ginzburg model

High Energy Physics - Lattice 2015-06-25 v1

Abstract

The scale hierarchy of wavelets provides a natural frame for renormalization. Expanding the order parameter of the Landau-Ginzburg/Φ4\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.

Keywords

Cite

@article{arxiv.hep-lat/9909151,
  title  = {Wavelet-induced renormalization group for the Landau-Ginzburg model},
  author = {Christoph Best},
  journal= {arXiv preprint arXiv:hep-lat/9909151},
  year   = {2015}
}

Comments

LATTICE99(Renormalization), LaTeX, 3 pages