Yang-Mills theory, 2+1 and 3+1 dimensions

摘要

I review the analysis of (2+1)-dimensional Yang-Mills (Y M2+1) theory via the use of gauge-invariant matrix variables. The vacuum wavefunction, string tension, the propagator mass for gluons, its relation to the magnetic mass for Y M3+1 at nonzero temperature and the extension of our analysis to the Yang-Mills-Chern-Simons theory are discussed. A possible extension to 3 + 1 dimensions is also briefly considered. [References: 27]