Near-integrability of 2+1-dimensional Yang-Mills theories

          @misc{ pirsa_PIRSA:07030006,
            doi = {10.48660/07030006},
            url = {https://pirsa.org/07030006},
            author = {Orland, Peter},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Near-integrability of 2+1-dimensional Yang-Mills theories},
            publisher = {Perimeter Institute},
            year = {2007},
            month = {mar},
            note = {PIRSA:07030006 see, \url{https://pirsa.org}}
          }
          

Abstract

In an anisotropic limit of the weakly-coupled, 2+1-dimensional non-Abelian gauge theories are equivalent to a collection of integrable 1+1-dimensional quantum field theories. This fact makes it possible to understand confinement near this limit. Using exact form factors, it is possible to study the theory away from the extreme anisotropic limit. The string tension between fundamental color sources is found. Adjoint sources are not confined. Some ideas concerning the isotropic case and the generalization to 3+1 dimensions will be discussed.