Integrable generalized Thirring model

Korkut Bardakçi*, Luis M. Bernardo, Nir Sochen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We derive the conditions that the coupling constants of the generalized Thirring model have to satisfy in order for the model to admit an infinite number of commuting classical conserved quantities. Our treatment uses the bosonized version of the model, with periodic boundary conditions imposed on the space coordinate. Some explicit examples that satisfy these conditions are discussed. We show that, with a different set of boundary conditions, there exist additional conserved quantities, and we find the Poisson bracket algebra satisfied by them.

Original languageEnglish
Pages (from-to)513-525
Number of pages13
JournalNuclear Physics B
Volume487
Issue number1-2
DOIs
StatePublished - 3 Mar 1997
Externally publishedYes

Funding

FundersFunder number
Office of Energy Research
Office of High Energy and Nuclear Physics
National Science FoundationPHY-90-21139
U.S. Department of EnergyDE-AC03-76SF00098
High Energy Physics

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