Weak gauge coupling expansion near the critical line in the standard SU(2) Higgs model

Abstract

The behaviour of the lattice-regularized SU(2) Higgs model with a scalar doublet field is investigated near the critical line at vanishing gauge coupling. By the use of the expansion in the gauge coupling the determination of the renormalization group trajectories is reduced to a similar problem in the pure φ 4 model. The shape of the critical surface separating the confining and the Higgs phase can also be obtained by the weak gauge coupling expansion from the shape of the φ 4 critical line.