Thermodynamical Bethe Ansatz analysis in an SU(2) X U(1) symmetric σ-model

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Abstract

Four different types of free energies are computed by both thermodynamical Bethe Ansatz (TBA) techniques and by weak coupling perturbation theory in an integrable one-parameter deformation of the O(4) principal chiral σ-model (with SU(2) X U(1) symmetry). The model exhibits both 'fermionic' and 'bosonic' type free energies and in all cases the perturbative and the TBA results are in perfect agreement, strongly supporting the correctness of the proposed S matrix. The mass gap is also computed in terms of the Λ parameters of the modified minimal subtraction scheme and a lattice regularized version of the model.

Original languageEnglish
Pages (from-to)655-684
Number of pages30
JournalNuclear Physics B
Volume570
Issue number3
DOIs
Publication statusPublished - Mar 27 2000

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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