Toward extracting the scattering phase shift from integrated correlation functions. II. A relativistic lattice field theory model

Outlet Title

Physical Review D

Authors

Peng GuoFollow

Document Type

Article

Publication Date

Summer 7-9-2024

Abstract

In the present work, a relativistic relation that connects the difference of interacting and noninteracting integrated two-particle correlation functions in finite volume to infinite volume scattering phase shift through an integral is derived. We show that the difference of integrated finite volume correlation functions converges rapidly to its infinite volume limit as the size of the periodic box is increased. The fast convergence of our proposed formalism is illustrated by analytic solutions of a contact interaction model, the perturbation theory calculation, and also the Monte Carlo simulation of a complex 𝜙4 lattice field theory model.

Recommended Citation

Guo, Peng, "Toward extracting the scattering phase shift from integrated correlation functions. II. A relativistic lattice field theory model" (2024). Research & Publications. 43.
https://scholar.dsu.edu/anspapers/43