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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.14837 |
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| _version_ | 1866908498440224768 |
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| author | Gustin, Carter M. Serafin, Kamil Simon, William A. Ralli, Alexis Goldstein, Gary R. Love, Peter J. |
| author_facet | Gustin, Carter M. Serafin, Kamil Simon, William A. Ralli, Alexis Goldstein, Gary R. Love, Peter J. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_14837 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Renormalized Yukawa Hamiltonian: Spectrum, Parton Distribution Functions, and Resource Estimates for Quantum Simulation Gustin, Carter M. Serafin, Kamil Simon, William A. Ralli, Alexis Goldstein, Gary R. Love, Peter J. High Energy Physics - Theory Nuclear Theory Quantum Physics 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. |
| title | The Renormalized Yukawa Hamiltonian: Spectrum, Parton Distribution Functions, and Resource Estimates for Quantum Simulation |
| topic | High Energy Physics - Theory Nuclear Theory Quantum Physics |
| url | https://arxiv.org/abs/2508.14837 |