English

Numerical study of multiparticle production in $\phi^4$ theory: comparison with analytic results

High Energy Physics - Phenomenology 2022-02-16 v3 High Energy Physics - Theory

Abstract

We develop a numerical method to compute the probabilities of multiparticle production in weakly coupled scalar theories. Our technique is based on D.T. Son's semiclassical method of singular solutions. Applying it to the process 1n1 \to n in the unbroken four-dimensional λϕ4\lambda\phi^4 theory, we reproduce the known results at 1nλ1{1 \ll n \ll \lambda^{-1}}.

Cite

@article{arxiv.2111.04760,
  title  = {Numerical study of multiparticle production in $\phi^4$ theory: comparison with analytic results},
  author = {S. V. Demidov and B. R. Farkhtdinov and D. G. Levkov},
  journal= {arXiv preprint arXiv:2111.04760},
  year   = {2022}
}

Comments

4 pages, 3 figures, accepted in JETP Letters

R2 v1 2026-06-24T07:31:17.461Z