The Schrödinger representation for Fermions and a local expansion of the Schwinger model.

Nolland, D.; Mansfield, P.

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 Schrödinger functional, which has an expansion in local terms. The functional Schrödinger 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.

Citation

Nolland, D., & Mansfield, P. (2000). The Schrödinger representation for Fermions and a local expansion of the Schwinger model. International Journal of Modern Physics A, 15(03), 429-447. https://doi.org/10.1142/s0217751x00000203

• Journal Article Type: Article
• Publication Date: 2000-01
• Journal: International Journal of Modern Physics A
• Print ISSN: 0217-751X
• Electronic ISSN: 1793-656X
• Publisher: World Scientific Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 15
• Issue: 03
• Pages: 429-447
• DOI: https://doi.org/10.1142/s0217751x00000203
• Public URL: https://durham-repository.worktribe.com/output/1628760
• Related Public URLs: http://arXiv.org/abs/hep-th/9907159