1995/02/03 by R. Tarrach, Rolf Tarrach, Tarrach, Rolf
Physics and Astronomy · #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Applications #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9502020
17 pages, plain TeX, no figures
arxiv created 1995/02/03 · openalex publication_date 1995/02/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Triviality and Landau poles are often greeted as harbingers of new physics at 1 TeV. After briefly reviewing the ideas behind this, a model of singular quantum mechanics is introduced. Its ultraviolet structure, as well as some features of its vacuum, related to triviality, very much parallel λϕ4. The model is solvable, exactly and perturbatively, in any dimension. From its analysis we learn that Landau poles do not appear in any exactly computed observable, but only in truncated perturbation theory, when perturbation theory is performed with the wrong sign coupling. If these findings apply to the standard model no new physics at 1 TeV should be expected but only challenges for theorists.