A non-trivial spectrum for the trivial ϕ^4 theory
arXiv:hep-lat/9709062 · doi:10.1016/S0920-5632(97)00855-4
Abstract
It is pointed out that one-component ϕ^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 ϕ^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.
3 pages, talk given at LATTICE'97, Edinburgh