%0 Journal Article
%T The Schrodinger Representation for Fermions and a Local Expansion of the Schwinger Model
%A David Nolland
%A Paul Mansfield
%J Physics
%D 1999
%I arXiv
%R 10.1142/S0217751X00000203
%X 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.
%U http://arxiv.org/abs/hep-th/9907159v1