Lattice Computation of the Effective Potential in O(2)-Invariant λΦ4 Theory
A. Agodi, G. Andronico, M. Consoli
Abstract
We present a lattice computation of the effective potential for O(2)-invariant (λΦ4)4 theory in the region of bare parameters corresponding to a classically scale-invariant theory. As expected from ``triviality'' and as in the one-component theory, we find very good agreement with the one-loop prediction, while a perturbative leading-log improvement of the effective potential fails to reproduce the Monte Carlo data. The mass mh of the free shifted radial field is related to the renormalized vacuum expectation value vR through the same relation m2h=8π2 v2R as in the one-component case. This confirms the prediction of a weakly interacting 2.2 TeV Higgs particle in the standard model.
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