Scattering Amplitude from Quantum Computing with Reduction Formula
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866914692574740480 |
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| author | Li, Tianyin Lai, Wai Kin Wang, Enke Xing, Hongxi |
| author_facet | Li, Tianyin Lai, Wai Kin Wang, Enke Xing, Hongxi |
| contents | Utilizing the Lehmann-Symanzik-Zimmermann reduction formula, we present a new general framework for computing scattering amplitudes in quantum field theory with quantum computers in a fully nonperturbative way. In this framework, one only has to construct one-particle states of zero momentum, and no wave packets of incoming particles are needed. The framework is able to incorporate scatterings of bound states, and is ideal for scatterings involving a small number of particles. We expect this framework to have particular advantages when applied to exclusive hadron scatterings. As a proof of concept, by simulations on classical hardware, we demonstrate that in the one-flavor Gross-Neveu model, the fermion propagator, the connected fermion four-point function, and the propagator of a fermion-antifermion bound state obtained from our proposed quantum algorithm have the desired pole structure crucial to the implementation of the Lehmann-Symanzik-Zimmermann reduction formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_04179 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Scattering Amplitude from Quantum Computing with Reduction Formula Li, Tianyin Lai, Wai Kin Wang, Enke Xing, Hongxi High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory Quantum Physics Utilizing the Lehmann-Symanzik-Zimmermann reduction formula, we present a new general framework for computing scattering amplitudes in quantum field theory with quantum computers in a fully nonperturbative way. In this framework, one only has to construct one-particle states of zero momentum, and no wave packets of incoming particles are needed. The framework is able to incorporate scatterings of bound states, and is ideal for scatterings involving a small number of particles. We expect this framework to have particular advantages when applied to exclusive hadron scatterings. As a proof of concept, by simulations on classical hardware, we demonstrate that in the one-flavor Gross-Neveu model, the fermion propagator, the connected fermion four-point function, and the propagator of a fermion-antifermion bound state obtained from our proposed quantum algorithm have the desired pole structure crucial to the implementation of the Lehmann-Symanzik-Zimmermann reduction formula. |
| title | Scattering Amplitude from Quantum Computing with Reduction Formula |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment Nuclear Theory Quantum Physics |
| url | https://arxiv.org/abs/2301.04179 |