1993/10/06 by Kerson Huang, Huang, Kerson
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9310235
9 pages
arxiv created 1993/10/06 · openalex publication_date 1993/10/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Phi4 theory in 4-epsilon dimensions has two fixed points, which coincide in the limit epsilon->0. One is a Gaussian UV fixed point, and the other a non-trivial IR fixed point. They lead to two different continuum field theories. The commonly adopted IR theory is ``trivial,'' behaves like perturbation theory, and suggests an upper bound on the Higgs boson mass. The UV theory is asymptotically free, and does not impose a bound on the Higgs mass. The UV continuum limit can also be reached in 4 dimensions with momentum or lattice cutoff.