Freiburg 1998 – scientific programme
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T: Teilchenphysik
T 107: Feldtheorie
T 107.1: Talk
Monday, March 23, 1998, 16:20–16:35, HS G
Asymptotic freedom in a scalar field theory on the lattice — •Kurt Langfeld and Hugo Reinhardt — Institut für Theoretische Physik, Universität Tübingen, D–72076 Tübingen, Germany
An alternative model to the trivial φ4-theory of the standard model of weak interactions is suggested, which embodies the Higgs-mechanism, but is free of the conceptual problems of standard φ 4-theory. We propose a N-component, O(N)-symmetric scalar field theory, which is originally defined on the lattice. The model can be motivated from SU(2) gauge theory. Thereby the scalar field arises as a gauge invariant degree of freedom. 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.
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