Visualizing resonances in finite volume

Abstract

In present work, we explore and experiment an alternative approach of studying resonance properties in finite volume. By analytic continuing finite lattice size $L$ into complex plane, the oscillating behavior of finite volume Green's function is mapped into infinite volume Green's function corrected by exponentially decaying finite volume effect. The analytic continuation technique thus can be applied to study resonance properties directly in finite volume dynamical equations.

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Cited by in corpus (11)

• Towards a theory of hadron resonances
• Three-body interactions from the finite-volume QCD spectrum
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• $DDK$ system in finite volume
• Three-body dynamics of the $a_1(1260)$ resonance from lattice QCD
• Coulomb corrections to two-particle interaction in artificial traps
• Charged particles interaction in both a finite volume and a uniform magnetic field
• Nuclear reactions in artificial traps
• Charged particles interaction in both a finite volume and a uniform magnetic field II: topological and analytic properties of a magnetic system
• Complex scaling in finite volume
• Toward extracting scattering phase shift from integrated correlation functions on quantum computers