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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

Using lattice simulations of a one-component $(\lambda \Phi^4)_4$ theory, we have measured the energy spectrum $\omega({\mathbf{k}})$ in the broken phase at various lattice sizes. Our data show that the energy-gap $\omega(0)$ 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.

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