Exact solution of the multiflavor gross-neveu model

The Bethe-ansatz solution is presented for the multiflavor model arising in the Polyakov-Wiegmann fermionization of the SU(2) principal chiral field, i.e. the O(4) σ model. The vacuum and excitations with finite energy and momentum are constructed. The assumption that massive particles of the σ mode...

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Bibliographic Details
Published inPhysics letters. B Vol. 184; no. 4; pp. 363 - 368
Main Authors Avdeev, L.V., Chizhov, M.V.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 05.02.1987
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Summary:The Bethe-ansatz solution is presented for the multiflavor model arising in the Polyakov-Wiegmann fermionization of the SU(2) principal chiral field, i.e. the O(4) σ model. The vacuum and excitations with finite energy and momentum are constructed. The assumption that massive particles of the σ model are in the vector representation of O(4) is not corroborated. The renormalization-group β function agrees with a one-charge solution in perturbation theory.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(87)90181-X