Thirring model in terms of currents: Solution and light-cone expansions

G. F. Dell'Antonio, Yitzhak Frishman, Daniel Zwanziger

    Research output: Contribution to journalArticle

    Abstract

    Exact expansions of operator products, in terms of c-number functions singular on the light cone and regular operators, are exhibited explicitly in the Thirring model. For the products ψ1(x)ψ1†(x′) and ψ2(x) ψ2†(x′) of fermion fields the expansion reduces to one term only, with the c-number function having a singularity on the light cone which depends on the coupling constant, and the regular operator depending only on the currents, which are free. The resulting formula allows one to calculate all Wightman functions in terms of current matrix elements and thereby provides a simple and complete solution to the Thirring model. The different charge sectors are realized as inequivalent irreducible representation spaces of the canonical current commutation relations, on which the charged field ψ acts as an intertwining operator.

    Original languageEnglish (US)
    Pages (from-to)988-1007
    Number of pages20
    JournalPhysical Review D
    Volume6
    Issue number4
    DOIs
    StatePublished - 1972

    ASJC Scopus subject areas

    • Physics and Astronomy (miscellaneous)

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