Multiresolution decomposition of quantum field theories using wavelet bases

Abstract

We investigate both theoretical and computational aspects of using wavelet bases to decouple physics on different scales in quantum field theory.

21 pages, 16 figures, significant additions from original submission

References in corpus (4)

• Similarity Renormalization Group for Nucleon-Nucleon Interactions
• Block Diagonalization using SRG Flow Equations
• Wavelet-Based Quantum Field Theory
• Unifying renormalization group and the continuous wavelet transform

Cited by in corpus (8)

• Wavelet representation of light-front quantum field theory
• Multi-scale methods in quantum field theory
• Renormalization in Wavelet basis
• Wavelet regularization of gauge theories
• Wavelet regularization of Euclidean QED
• Hamiltonian Flow Equations in Daubechies Wavelet Basis
• Hamiltonian formulation of the $1+1$-dimensional ${\varphi }^4$ theory in a momentum-space Daubechies wavelet basis
• An efficient Wavelet-Based Hamiltonian Formulation of Quantum Field Theories using Flow-Equations