English

Nonperturbative bound on high multiplicity cross sections in phi^4_3 from lattice simulation

High Energy Physics - Phenomenology 2009-11-07 v2 High Energy Physics - Lattice High Energy Physics - Theory

Abstract

We have looked for evidence of large cross sections at large multiplicities in weakly coupled scalar field theory in three dimensions. We use spectral function sum rules to derive bounds on total cross sections where the sum can be expresed in terms of a quantity which can be measured by Monte Carlo simulation in Euclidean space. We find that high multiplicity cross sections remain small for energies and multiplicities for which large effects had been suggested.

Keywords

Cite

@article{arxiv.hep-ph/0111010,
  title  = {Nonperturbative bound on high multiplicity cross sections in phi^4_3 from lattice simulation},
  author = {Y. Y. Charng and R. S. Willey},
  journal= {arXiv preprint arXiv:hep-ph/0111010},
  year   = {2009}
}

Comments

23 pages, revtex, seven eps figures revised version: typos corrected, some rewriting of discusion, same result

R2 v1 2026-07-22T13:37:12.529Z