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   -> Volume 7, Issue 10

Thesis: Wavelets and Lattice Field Theory (in German)
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Christoph Best (

PostPosted: Wed Sep 30, 1998 11:23 am    
Subject: Thesis: Wavelets and Lattice Field Theory (in German)
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#10 Thesis: Wavelets and Lattice Field Theory (in German)

Recently, I completed my Ph.D. thesis on "Modern numerical methods for
field theories on the lattice" at the Institute for Theoretical
Physics, J. W. Goethe University, Frankfurt, Germany.

It includes two chapters on

1. "Wavelet Analysis of the Landau-Ginzburg Theory" and

2. "Approximate Solution of Hamiltonian Lattice Gauge Theory
in Wavelet Space"

*Unfortunately, it is currently only available in German.*

Summaries for the two chapters:

1. The application of the Wavelet transformation to the
Landau-Ginzburg theory of critical phenomena is investigated. It
is shown that the Wavelet transformation can be viewed as a
realization of the renormalization group. Renormalization flow is
investigated in the framework of a simple variational

2. The wavelet transform is applied to a particularly simple variant of
Hamiltonian lattice gauge theory. It is investigated how the
wavelet space can be used to truncate the field equations and
derive a qualitative picture of the effective equations of

It can be downloaded from:

Christoph Best
Konrad-Zuse-Zentrum fuer Informationstechnik
Takustrasse 7, 14195 Berlin, Germany +49-(0)30-84185-216, Fax -107
All times are GMT + 1 Hour
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