Structural Aspects of Two-Dimensional Anomalous Gauge Theories

Details Structural Aspects of Two-Dimensional Anomalous Gauge Theories Structural Aspects of Two-Dimensional Anomalous Gauge Theories

1998-04-14

arxiv.org/abs/hep-th/9804098v1

Annals Phys. 269 (1998) 1-25

Physics

High Energy Physics

High Energy Physics - Theory

40 pages. Latex, to appear in Annals of Physics

Scientific paper

10.1006/aphy.1998.5836

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 algebra generated by the fundamental set of field operators whose Wightman functions define the model. We examine the effect of the use of a redundant field algebra in deriving basic properties of the models and show that different results may arise, as regards the physical properties of the generalized chiral model, in restricting or not the Hilbert space as representation of the intrinsic local field algebra. The question referring to considering the vector Schwinger model as a limit of the generalized anomalous model is also discussed. We show that this limit can only be consistently defined for a field subalgebra of the generalized model.

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