Lattice Computation of the Effective Potential in O(2)-Invariant $λΦ^4$ Theory

Agodi, A.; Andronico, G.; Consoli, M.

Lattice Computation of the Effective Potential in O(2)-Invariant $λΦ^4$ Theory

Authors

Agodi, A.

Andronico, G.

Consoli, M.

Description

We present a lattice computation of the effective potential for O(2)-invariant $(λΦ^4)_4$ 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 $m_h$ of the free shifted radial field is related to the renormalized vacuum expectation value $v_R$ through the same relation $m^2_h=8π^2 v^2_R$ as in the one-component case. This confirms the prediction of a weakly interacting 2.2 TeV Higgs particle in the standard model.
13 pages, RevTeX