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Toward extracting scattering phase shifts from integrated correlation functions. V. Complex ϕ4 field model in 3+1 dimensions

Peng Guo*

Frank X. Lee† and Andrei Alexandru‡

  • *Contact author: peng.guo@dsu.edu
  • †Contact author: fxlee@gwu.edu
  • ‡Contact author: aalexan@gwu.edu
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Phys. Rev. D 112, 074511 – Published 22 October, 2025

DOI: https://doi.org/10.1103/v132-nsb2

Abstract

In Guo [Toward extracting the scattering phase shift from integrated correlation functions. II. A relativistic lattice field theory model, Phys. Rev. D 110, 014504 (2024).] 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 ϕ4 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.

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Toward extracting scattering phase shifts from integrated correlation functions. IV. Coulomb corrections

Peng Guo and Frank X. Lee
Phys. Rev. D 112, 014513 (2025)

Article Text

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Phys. Rev. D 112, 074511– Published 22 October, 2025
  • Received 18 August 2025
  • Accepted 8 October 2025
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