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High Energy Physics - Theory

arXiv:2508.14837 (hep-th)
[Submitted on 20 Aug 2025 (v1), last revised 22 Aug 2025 (this version, v2)]

Title:The Renormalized Yukawa Hamiltonian: Spectrum, Parton Distribution Functions, and Resource Estimates for Quantum Simulation

Authors:Carter M. Gustin, Kamil Serafin, William A. Simon, Alexis Ralli, Gary R. Goldstein, Peter J. Love
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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.
Comments: 25 pages, 17 figures
Subjects: High Energy Physics - Theory (hep-th); Nuclear Theory (nucl-th); Quantum Physics (quant-ph)
Cite as: arXiv:2508.14837 [hep-th]
  (or arXiv:2508.14837v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2508.14837

Submission history

From: Carter Gustin [view email]
[v1] Wed, 20 Aug 2025 16:39:10 UTC (4,884 KB)
[v2] Fri, 22 Aug 2025 16:08:01 UTC (4,884 KB)
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