Daubechies wavelets turn the free scalar field Hamiltonian into coupled oscillators that SRG flow equations block-diagonalize by resolution, allowing low-energy spectrum extraction from the lowest-resolution block alone.
For example, translationally invariant state|ϕ⟩ corresponding to the representative state|1,4,2,3⟩ is, |ϕ⟩ → 1√ 4 (|1,4,2,3⟩+|3,1,4,2⟩+|2,3,1,4⟩+|4,2,3,1⟩)
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An efficient Wavelet-Based Hamiltonian Formulation of Quantum Field Theories using Flow-Equations
Daubechies wavelets turn the free scalar field Hamiltonian into coupled oscillators that SRG flow equations block-diagonalize by resolution, allowing low-energy spectrum extraction from the lowest-resolution block alone.