
pmid: 9957563
We study the \ensuremath{\lambda}${\ensuremath{\varphi}}^{4}$ theory in 4 space-time dimensions in a Monte Carlo simulation on a ${10}^{4}$ lattice, through an especially simple and accurate way to calculate the effective potential. All renormalized parameters are obtained via the effective potential and the propagator. In the continuum limit we confirm the vanishing of the renormalized self-coupling, and show that the system can exist in one of two possible phases, both having a free particle of arbitrary mass. In one phase the vacuum expectation of the field vanishes, while in the other it is nonzero. This opens the possibility that, even though the self-coupling vanishes, the field can still be used to generate masses for gauge bosons and fermions.
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