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Quantum Simulation
A novel Hamiltonian formulation of 1+1 dimensional φ4 theory in Daubechies wavelet basis: momentum space analysis
arXiv
Authors: Mrinmoy Basak
Year
2026
Paper ID
3076
Status
Preprint
Abstract Read
~2 min
Abstract Words
77
Citations
N/A
Abstract
We employ the wavelet formalism of quantum field theory to study field theories in the nonperturbative Hamiltonian framework. Specifically, we make use of Daubechies wavelets in momentum space. These basis elements are characterised by a resolution and a translation index that provides for a natural nonperturbative infrared and ultraviolet truncation of the quantum field theory. As an application, we consider the φ4 theory and demonstrate the emergence of the well-known nonperturbative strong-coupling phase transition in the m2>0 sector.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We employ the wavelet formalism of quantum field theory to study field theories in the nonperturbative Hamiltonian framework.
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