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The Renormalized Yukawa Hamiltonian: Spectrum, Parton Distribution Functons, and Resource Estimates for Quantum Simulation
Carter M. Gustin, Kamil Serafin, William A. Simon, Alexis Ralli, Gary R. Goldstein, Peter J. Love
https://arxiv.org/abs/2508.14837

The Renormalized Yukawa Hamiltonian: Spectrum, Parton Distribution Functons, and Resource Estimates for Quantum Simulation
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 Encodi…