Quasiparton distributions in massive QED2: Toward quantum computation
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909337978404864 |
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| author | Grieninger, Sebastian Ikeda, Kazuki Zahed, Ismail |
| author_facet | Grieninger, Sebastian Ikeda, Kazuki Zahed, Ismail |
| contents | We analyze the quasi-parton distributions of the lightest $η'$ meson in massive two-dimensional Quantum electrodynamics (QED2) by performing a digital quantum simulation on a classical computer (exact diagonalization). The Hamiltonian and boost operators are mapped onto spin qubits in a spatial lattice with open boundary conditions. The lowest excited state in the exact diagonalization is shown to interpolate continuously between an anomalous $η'$ state at strong coupling,and a non-anomalous heavy meson at weak coupling, with a cusp at the critical point. The boosted $η'$ state follows relativistic kinematics but with large deviations in the luminal limit. The spatial quasi-parton distribution function and amplitude for the $η'$ state are computed numerically for increasing rapidity both at strong and weak coupling, and compared to the exact light front results. The numerical results from the boosted form of the spatial parton distributions, compare fairly with the inverse Fourier transformation of the luminal parton distributions, derived in the lowest Fock space approximation. Our analysis points out some of the limitations facing the current lattice program for the parton distributions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05112 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasiparton distributions in massive QED2: Toward quantum computation Grieninger, Sebastian Ikeda, Kazuki Zahed, Ismail High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Theory Nuclear Theory Quantum Physics We analyze the quasi-parton distributions of the lightest $η'$ meson in massive two-dimensional Quantum electrodynamics (QED2) by performing a digital quantum simulation on a classical computer (exact diagonalization). The Hamiltonian and boost operators are mapped onto spin qubits in a spatial lattice with open boundary conditions. The lowest excited state in the exact diagonalization is shown to interpolate continuously between an anomalous $η'$ state at strong coupling,and a non-anomalous heavy meson at weak coupling, with a cusp at the critical point. The boosted $η'$ state follows relativistic kinematics but with large deviations in the luminal limit. The spatial quasi-parton distribution function and amplitude for the $η'$ state are computed numerically for increasing rapidity both at strong and weak coupling, and compared to the exact light front results. The numerical results from the boosted form of the spatial parton distributions, compare fairly with the inverse Fourier transformation of the luminal parton distributions, derived in the lowest Fock space approximation. Our analysis points out some of the limitations facing the current lattice program for the parton distributions. |
| title | Quasiparton distributions in massive QED2: Toward quantum computation |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice High Energy Physics - Theory Nuclear Theory Quantum Physics |
| url | https://arxiv.org/abs/2404.05112 |