A non-trivial spectrum for the trivial \phi^4 theory
High Energy Physics - Lattice
2009-10-30 v1 High Energy Physics - Theory
Abstract
It is pointed out that one-component \phi^4 lattice theory in four dimensions has a non-perturbative sector which can be studied by means of an exact duality transformation of its Ising limit. This duality maps it to a membrane model. As a consequence, the \phi^4-theory turns out to have, in the broken symmetry phase, a remarkably rich spectrum of physical states corresponding to membrane excitations. A numerical study of the correlators between dual variables allows to evaluate the masses of the first few states.
Cite
@article{arxiv.hep-lat/9709062,
title = {A non-trivial spectrum for the trivial \phi^4 theory},
author = {F. Gliozzi},
journal= {arXiv preprint arXiv:hep-lat/9709062},
year = {2009}
}
Comments
3 pages, talk given at LATTICE'97, Edinburgh