CPsub(N-1) Models and Their Non-Abelian Version HPsub(N-1): A Study of the Quantum Properties

摘要

A class of models with non-abelian gauge invariance called HPsub(n-1) (they are a generalization of the abelian CPsub(n-1) models) is considered at the quantum level, in particular in view of their relation to the O(n) non-linear sigma-models, which is connected with the confinement property. Renormalization, critical behaviour and 1/n expansion are studied in 2 or 2 + sigma dimensions. A comparison between the abelian CPsub(n-1) and the non-abelian HPsub(n-1) allows us to discuss the role of the classical solutions in the confinement problem. (Atomindex citation 13:660156)