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SU( N ) Quantum Yang–Mills theory in two dimensions: A complete solution

SU( N ) Quantum Yang–Mills theory in two dimensions: A complete solution

A closed expression of the Euclidean Wilson-loop functionals is derived for pure Yang–Mills continuum theories with gauge groups SU(N) and U(1) and space-time topologies R1×R1 and R1×S1. (For the U(1) theory, we also consider the S1×S1 topology.) The treatment is rigorous, manifestly gauge invariant, manifestly invariant under area preserving diffeomorphisms …