Wolf, Dietrich; Zittartz, Johannes:
Bosons and fermions in one space dimension
In: Zeitschrift für Physik. B Condensed Matter, Jg. 53 (1983), Heft 1, S. 65 - 75
1983Artikel/Aufsatz in ZeitschriftPhysik
Bosons and fermions in one space dimension
Wolf, DietrichLSF; Zittartz, Johannes


The transformation of interacting fermions into free bosons known e.g. from the solution of the Luttinger model is reconsidered in a condensed version which combines all fermionic degrees of freedom in a single boson field. This simplifies calculations as compared to the usual separate treatment of the charge degrees of freedom. The representation of the fermions is exact. The Thirring-Schwinger model is described and solved with special emphasis on boundary effects. Implications for massive fermions are briefly mentioned.