Gauge Invariant Formulation and Bosonisation of the Schwinger Model

Abstract

The functional integral of the massless Schwinger model in $(1+1)$ dimensions is reduced to an integral in terms of local gauge invariant quantities. It turns out that this approach leads to a natural bosonisation scheme, yielding, in particular the famous `bosonisation rule'' and giving some deeper insight into the nature of the bosonisation phenomenon. As an application, the chiral anomaly is calculated within this formulation.

LaTeX, 8 pages

References in corpus (2)

• Generalized Thirring Models
• Smooth Bosonization II: The Massive Case

Cited by in corpus (6)

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• Reformulation of gauge theories in terms of gauge invariant fields