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The sigma model (dual) representation for a two-parameter family of integrable quantum field theories |
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| Institution: | 1. Department of Physics, Kyung Hee University, 26 Gyungheedaero, Dongdaemun-Gu, Seoul 02447, Republic of Korea;2. Center for Axion and Precision Physics Research (IBS), 291 Daehakro, Yuseong-Gu, Daejeon 34141, Republic of Korea;3. Department of Physics, Seoul National University, 1 Gwanakro, Gwanak-Gu, Seoul 08826, Republic of Korea;4. Center for Theoretical Physics of the Universe (IBS), Yuseong-Gu, Daejeon 305-811, Republic of Korea;1. Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A-4040, Linz, Austria;2. Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen, Germany;3. Institut für Theoretische Teilchenphysik Campus Süd, Karlsruher Institut für Technologie (KIT), D-76128 Karlsruhe, Germany |
| Abstract: | We introduce and study two-parameter families of integrable field theories. The perturbative and non-perturbative methods are used to justify their factorized scattering theory in the form of the direct products of two S-matrices of the sine-Gordon model. The Bethe ansatz technique is applied for the calculation of the observables in the strong coupling region. The results are in the exact agreement with ones following from the sigma model action which is a two-parameter U(1) ⊗ (1) symmetrical deformation of the O(4) non-finear sigma model. The application of the sigma model representation to related perturbed conformal field theories is discussed. |
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