MASS SCALE IN THE SINE–GORDON MODEL AND ITS REDUCTIONS

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  • AL. B. ZAMOLODCHIKOV
    Laboratoire de Physique Mathématique, (Laboratoire Associé au CNRS URA 768) Université des Sciences et Techniques du Languedoc, Place Eugène Bataillon, 34095 Montpellier Cedex 5, France

説明

<jats:p> Known Bethe ansatz results about the sine–Gordon factorized scattering are reinterpreted in terms of perturbed conformal field theory. We obtain an exact relation between the ultraviolet and asymptotic scales (i.e. between the dimensional coupling constant and the soliton mass) and an explicit expression for the vacuum energy. The reduction technique then permits one to relate exactly the coupling constants and the mass scales in the Φ<jats:sub>13</jats:sub>-perturbed minimal CFT models. The preasymptotically free situation at β<jats:sup>2</jats:sup> near 8π is discussed on a preliminary footing. </jats:p>

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