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Real-time scattering in the lattice Schwinger model

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arxiv 2402.18429 v2 pith:WU6LA5WP submitted 2024-02-28 hep-lat hep-phquant-ph

Real-time scattering in the lattice Schwinger model

classification hep-lat hep-phquant-ph
keywords latticemesonsmodelreal-timeschwingerchannelclosecollision
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Tensor network methods have demonstrated their suitability for the study of equilibrium properties of lattice gauge theories, even close to the continuum limit. We use them in an out-of-equilibrium scenario, much less explored so far, by simulating the real-time collisions of composite mesons in the lattice Schwinger model. Constructing wave-packets of vector mesons at different incoming momenta, we observe the opening of the inelastic channel in which two heavier mesons are produced and identify the momentum threshold. To detect the products of the collision in the strong coupling regime we propose local quantitites that could be measured in current quantum simulation platforms.

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