Vacuum in Multicolor QCD

摘要

It is assumed that among asymptotic solutions to the Makeenko-Migdal equation of the form exp(-aA - bL) (A = area, L = perimeter, A and L are large) there is also the solution which has asymptotic freedom at small distances. It is then shown that vacuum is filled with magnetic vortex lines with non-trivial topology. The vacuum energy is calculated, and it is found that it is exponentially small for large volumes. The Higgs phase is then ruled out, b=0. The result for the vacuum energy agrees well with an expression obtained by 't Hooft from duality. (Atomindex citation 12:600547)