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

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

1999-07-19

arxiv.org/abs/hep-th/9907159v1

Int.J.Mod.Phys. A15 (2000) 429-447

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 19 pages

Scientific paper

10.1142/S0217751X00000203

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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