ASYMPTOTIC FREEDOM IN A SCALAR FIELD-THEORY ON THE LATTICE

A scalar held theory in four space-time dimensions is proposed, which embodies a scalar condensate, but is free of the conceptual problems o f standard phi(4)-theory. We propose an N-component, O(N)-symmetric sc alar field theory, which is originally defined on the lattice. The sca lar lattice model is analytically solved in the large-N limit. The con tinuum limit is approached via an asymptotically free scaling. The ren ormalized theory evades triviality, and furthermore gives rise to a dy namically formed mass of the scalar particle. The model might serve as an alternative to the Higgs sector of the standard model, where the q uantum level of the standard phi(4)-theory contradicts phenomenology d ue to triviality.