The Renormalized Yukawa Hamiltonian: Spectrum, Parton Distribution Functions, and Resource Estimates for Quantum Simulation
High Energy Physics - Theory
2025-08-25 v2 Nuclear Theory
Quantum Physics
Abstract
We apply the Renormalization Group Procedure for Effective Particles (RGPEP) to the front form Yukawa Hamiltonian, yielding a renormalized (effective) Hamiltonian, accurate up to second order in the coupling strength. Subsequently, we examine the spectrum and parton distribution functions produced by the renormalized Hamiltonian, and show that the addition of counterterms leads to finite results. Resource estimates for quantum simulation are calculated for a single `Ladder Operator Block Encoding' (LOBE), and show that the cost to block encode the renormalized Hamiltonian is comparable to block encoding the bare Hamiltonian.
Keywords
Cite
@article{arxiv.2508.14837,
title = {The Renormalized Yukawa Hamiltonian: Spectrum, Parton Distribution Functions, and Resource Estimates for Quantum Simulation},
author = {Carter M. Gustin and Kamil Serafin and William A. Simon and Alexis Ralli and Gary R. Goldstein and Peter J. Love},
journal= {arXiv preprint arXiv:2508.14837},
year = {2025}
}
Comments
25 pages, 17 figures