Lattice measurement of the energy-gap in a spontaneously broken phase

Abstract

Using lattice simulations of a one-component $(λΦ^4)_4$ theory, we have measured the energy spectrum $ω({\mathbf{k}})$ in the broken phase at various lattice sizes. Our data show that the energy-gap $ω(0)$ is {\it not} the `Higgs mass' $M_h$ but an infrared-sensitive quantity that becomes smaller and smaller by increasing the lattice size and may even vanish in the infinite-volume limit.

11 pages, 4 figures, 1 table. Revised version with more statistics and other measured quantities