Work

Toward extracting scattering phase shifts from integrated correlation functions. V. Complex ϕ 4 field model in 3 + 1 dimensions

Year: 2025

Type: article

Abstract: In Guo [Toward extracting the scattering phase shift from integrated correlation functions. II. A relativistic lattice field theory model, .] and associated studies, a relativistic finite-volume formalism in 1 + 1 dimensions is proposed to extract infinite-volume scattering phaseshift. It is based on the difference of integrated correlation functions rather than energy spectrum in the finite volume, and can be regarded as complementary to the well-known Lüscher formalism. In the present work, the formalism is further extended into 3 + 1 dimensional spacetime. The aim is to explore and demonstrate the challenges in applying the formalism to more practical settings. Specifically, Monte Carlo simulations of a complex ϕ 4 relativistic field model are carried out in both 2 + 1 and 3 + 1 dimensions on lattices of varying sizes, and phaseshifts for the contact interaction are extracted from the formalism using modest computing resources.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/v132-nsb2

Authors: Peng Guo, Frank X. Lee, Andrei Alexandru

Institutions: Dakota State University, University of California, Santa Barbara, Kavli Institute for Theoretical Physics, George Washington University

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid