Triviality of the Higgs field

Journal Article · Sun Jan 01 04:00:00 EST 1989 · Int. J. Mod. Phys. A; (United States)

DOI:https://doi.org/10.1142/S0217751X89000479· OSTI ID:5628143

Huang, K

The authors give a critical review of the triviality of the /lambda/phi theory, i.e., the vanishing of the renormalized self-coupling. Evidence from perturbation theory and Monte-Carlo simulations are cited. It is noted that (a) the theory is trivial but not entirely free, for there is spontaneous symmetry breaking; (b) perturbation theory is unreliable. Soluble examples with similar behavior are compared, in particular the Lee model and the 3D /delta/function potential. The latter case is especially important, for it shows that triviality is a symptom that the interaction is too singular, and suggests a cure. The import for the Higgs sector of the standard model is discussed. It is argued that, like the Fermi pseudopotential, the Higgs field is a long-wavelength approximation that should be used in lowest order perturbation theory only.

• Research Organization: Massachusetts Inst. of Tech., Cambridge, MA (USA). Center for Theoretical Physics
• OSTI ID: 5628143
• Journal Information: Int. J. Mod. Phys. A; (United States), Journal Name: Int. J. Mod. Phys. A; (United States) Vol. 4:5; ISSN IMPAE
• Country of Publication: United States
• Language: English

Related Subjects

645300* -- High Energy Physics-- Particle Invariance Principles & Symmetries
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
HIGGS MODEL
LEE MODEL
MASS RENORMALIZATION
MATHEMATICAL MODELS
MONTE CARLO METHOD
PARTICLE MODELS
PERTURBATION THEORY
RENORMALIZATION
STANDARD MODEL
SYMMETRY BREAKING
THREE-DIMENSIONAL CALCULATIONS
UNIFIED GAUGE MODELS