Nonlocal two-dimensional Yang-Mills and generalized Yang-Mills theories

A generalization of the two-dimensional Yang-Mills and generalized Yang-Mil ls theory is introduced in which the building B-F theory is nonlocal in the auxiliary field. The classical and quantum properties of this nonlocal gen eralization are investigated and it is shown that for large gauge groups, t here exists a simple correspondence between the properties of the nonlocal theory and its corresponding local theory.