Propagation of particles on a torus

Abstract

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.

Revised version based on Refs's suggestions, to appear in PLB

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Cited by in corpus (15)

• Three pion spectrum in the $I=3$ channel from lattice QCD
• Finite-volume energy spectrum of the $K^{-}{K}^{-}{K}^{-}$ system
• Three-body interactions from the finite-volume QCD spectrum
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• Multi-${\pi }^{+}$ systems in finite volume
• Three-body dynamics of the $a_1(1260)$ resonance from lattice QCD
• Modeling few-body resonances in finite volume
• Coulomb corrections to two-particle interaction in artificial traps
• Charged particles interaction in both a finite volume and a uniform magnetic field
• Visualizing resonances in finite volume
• Threshold expansion formula of $N$-boson in finite volume from variational approach
• Nuclear reactions in artificial traps
• Particle-dimer approach for the Roper resonance in a finite volume
• Charged particles interaction in both a finite volume and a uniform magnetic field II: topological and analytic properties of a magnetic system
• Toward extracting scattering phase shift from integrated correlation functions on quantum computers