Monte Carlo Calculation of Phase Shift in Four Dimensional O(4) $\phi^4$ Theory
High Energy Physics - Lattice
2009-10-22 v1 High Energy Physics - Theory
Abstract
The phase shift of the O(4) symmetric theory in the symmetric phase is calculated numerically using the relation between phase shift and energy levels of two-particle states recently derived by L\"{u}scher. The results agree with the prediction of perturbation theory. A practical difficulty of the method for a reliable extraction of the phase shift for large momenta due to the necessity of a precise determination of excited two-particle energy levels is pointed out.
Cite
@article{arxiv.hep-lat/9207028,
title = {Monte Carlo Calculation of Phase Shift in Four Dimensional O(4) $\phi^4$ Theory},
author = {Jun Nishimura},
journal= {arXiv preprint arXiv:hep-lat/9207028},
year = {2009}
}
Comments
10 pages, 3 figures (not included but available by mail), UT-615