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arXiv · hep-th/9907159

The Schrodinger Representation for Fermions and a Local Expansion of the Schwinger Model

David Nolland·Paul Mansfield
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Abstract

We discuss the functional representation of fermions, and obtain exact expressions for wave-functionals of the Schwinger model. Known features of the model such as bosonization and the vacuum angle arise naturally. Contrary to expectations, the vacuum wave-functional does not simplify at large distances, but it may be reconstructed as a large time limit of the corresponding Schrodinger functional, which has an expansion in local terms. The functional Schrodinger equation reduces to a set of algebraic equations for the coefficients of these terms. These ideas generalize to a numerical approach to QCD in higher dimensions.

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David Nolland, Paul Mansfield. 1999-07-19. The Schrodinger Representation for Fermions and a Local Expansion of the Schwinger Model. https://doi.org/10.1142/s0217751x00000203

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