1997/02/28 by K. Langfeld, KURT LANGFELD, H. Reinhardt +1
Physics and Astronomy · #Asymptotic freedom #Black Holes and Theoretical Physics #Lattice (music) #Particle physics theoretical and experimental studies #Phenomenology (philosophy) #Quantum Chromodynamics and Particle Interactions #Quantum field theory #Scalar (mathematics) #Scalar field #Scalar field theory #Scalar theories of gravitation #hep-ph #hep-th
paper · pdf · doi:10.1142/s0217732398002655
published as Mod.Phys.Lett. A13 (1998) 2495-2502 · 10 pages, LaTeX, one figure and a motivation for the particular type of action added
arxiv created 1997/06/26 · openalex publication_date 1998/10/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A scalar field theory in four space–time dimensions is proposed, which embodies a scalar condensate, but is free of the conceptual problems of standard ϕ 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 ϕ 4 -theory contradicts phenomenology due to triviality.