Upgrade of results from Monte Carlo study of the O(4) invariant λΦ^{4} model in the broken phase
Abstract
I summarize recent results from large scale Monte Carlo simulations of scalar O(4) theory in the broken phase. The wave function renormalization constant Z_{G}, the mass of the scalar particle m_{σ} and the scalar field expectation value Σ are determined. The effect of the finite lattice size on the scalar mass is estimated. The upper bound on the ratio m_{σ}/ f_{G} is 2.6(1) at a value of the cutoff Λ _{cut}⋍2.5 , corresponding to an triviality bound of 8.2(5) on the ratio of the Higgs mass over W mass. First results of an extensive calculation on various lattice sizes at finite small external source j and at a value of f _{G} ⋍ .4 are presented. Taking into account the effect of the Goldstone states via analytic formulae, the scalar field expectation value Σ is determined. The agreement of this value calculated at finite j and the calculation using rotates fields at j=0 is impressive.
 Publication:

Nuclear Physics B Proceedings Supplements
 Pub Date:
 June 1989
 DOI:
 10.1016/09205632(89)900789
 Bibcode:
 1989NuPhS...9...21N