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Renormalized Yukawa Hamiltonian: Spectrum, parton distribution functions, and resource estimates for quantum simulation

Carter M. Gustin1,*, Kamil Serafin1, William A. Simon1, Alexis Ralli1, Gary R. Goldstein1, and Peter J. Love1,2

  • *Contact author: carter.gustin@tufts.edu
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Phys. Rev. D 113, 016018 – Published 16 January, 2026

DOI: https://doi.org/10.1103/9y1c-52sx

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.

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Phys. Rev. D 113, 016018– Published 16 January, 2026
  • Received 22 August 2025
  • Accepted 16 December 2025
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