English

Testing a new method for scattering in finite volume in the $\phi^4$ theory

High Energy Physics - Lattice 2021-12-08 v1

Abstract

We test an alternative proposal by Bruno and Hansen [1] to extract the scattering length from lattice simulations in a finite volume. For this, we use a scalar ϕ4\phi^4 theory with two mass nondegenerate particles and explore various strategies to implement this new method. We find that the results are comparable to those obtained from the L\"uscher method, with somewhat smaller statistical uncertainties at larger volumes.

Keywords

Cite

@article{arxiv.2107.04853,
  title  = {Testing a new method for scattering in finite volume in the $\phi^4$ theory},
  author = {Marco Garofalo and Fernando Romero-López and Akaki Rusetsky and Carsten Urbach},
  journal= {arXiv preprint arXiv:2107.04853},
  year   = {2021}
}

Comments

4 pages, 3 figures

R2 v1 2026-06-24T04:04:07.074Z