The Luttinger-Schwinger Model
Abstract
We study the Luttinger-Schwinger model, i.e. the (1+1) dimensional model of massless Dirac fermions with a non-local 4-point interaction coupled to a U(1)-gauge field. The complete solution of the model is found using the boson-fermion correspondence, and the formalism for calculating all gauge invariant Green functions is provided. We discuss the role of anomalies and show how the existence of large gauge transformations implies a fermion condensate in all physical states. The meaning of regularization and renormalization in our well-defined Hilbert space setting is discussed. We illustrate the latter by performing the limit to the Thirring-Schwinger model where the interaction becomes local.
Keywords
Cite
@article{arxiv.hep-th/9609206,
title = {The Luttinger-Schwinger Model},
author = {H. Grosse and E. Langmann and E. Raschhofer},
journal= {arXiv preprint arXiv:hep-th/9609206},
year = {2009}
}
Comments
19 pages, Latex, to appear in Annals of Physics, download problems fixed