STRUCTURAL ASPECTS OF 2-DIMENSIONAL ANOMALOUS GAUGE-THEORIES

A foundational investigation of the basic structural properties of two -dimensional anomalous gauge theories is performed. The Hilbert space is constructed as the representation of the intrinsic local Field alge bra generated by the fundamental set of Field operators whose Wightman functions define the model. We examine the effect of the use of a red undant field algebra in deriving basic properties of the models and sh ow that different results may arise, as regards the physical propertie s of the generalized chiral model, in restricting or not the Hilbert s pace as a representation of the intrinsic local held algebra. The ques tion of whether the vector Schwinger model is a limit of the generaliz ed anomalous model is also discussed. We show that this limit can only be consistently defined for a field subalgebra of the generalized mod el. (C) 1998 Academic Press.