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Propagation of particles on a torus
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In this study, based on the variational principle and Faddeev method, we present a general framework for finding the propagating solutions of multiple interacting particles on a torus. Two different versions of multiparticle secular equations are presented. Version one shows how the propagating solutions on a torus and the infinite volume dynamics are connected. The second version may be more suitable and robust for the task of lattice quantum chromodynamics data analysis. The proposed formalism may also be useful for studying the effects of few-body interactions on the electronic band structure in condensed matter physics.
Forward citations
Cited by 2 Pith papers
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Coupled-channel approach to isotensor $\pi\pi\pi$ scattering from lattice QCD
The I=2 three-pion spectrum from lattice QCD is described by a repulsive rho-pi S-wave interaction, consistent with a leading-order effective Lagrangian.
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Toward extracting scattering phase shift from integrated correlation functions IV: Coulomb corrections
By subtracting the pure-Coulomb correlation function from the Coulomb-plus-short-range one, the authors derive a divergence-free integral relation to short-range phase shifts and verify it in an exactly solvable model.
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