Asymptotic freedom in a scalar field theory on the lattice

Kurt Langfeld, Hugo Reinhardt

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4 Citations (Scopus)

Abstract

A scalar held theory in four space-time dimensions is proposed, which embodies a scalar condensate, but is free of the conceptual problems of standard phi(4)-theory. We propose an N-component, O(N)-symmetric scalar field theory, which is originally defined on the lattice. The scalar lattice model is analytically solved in the large-N limit. The continuum limit is approached via an asymptotically free scaling. The renormalized theory evades triviality, and furthermore gives rise to a dynamically formed mass of the scalar particle. The model might serve as an alternative to the Higgs sector of the standard model, where the quantum level of the standard phi(4)-theory contradicts phenomenology due to triviality.
Original languageEnglish
Pages (from-to)2495-2501
Number of pages7
JournalModern Physics Letters A
Volume13
Issue number31
DOIs
Publication statusPublished - 1998
Externally publishedYes

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