Yang-Baxter algebras of monodromy matrices in integrable quantum field theories |
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Authors: | H.J. de Vega H. Eichenherr J.M. Maillet |
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Affiliation: | 1. Laboratoire de Physique Théorique et Hautes Energies, Laboratoire Associé au CNRS n° 280, Paris, France;2. E.T.H. Hönggerberg, Theoretical Physics, CH 8093 Zurich, Switzerland;3. Laboratoire de Physique Théorique et Hautes Energies, Laboratoire Associé au CNRS n° 280, Paris, France |
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Abstract: | We consider a large class of two-dimensional integrable quantum field theories with non-abelian internal symmetry and classical scale invariance. We present a general procedure to determine explicitly the conserved quantum monodromy operator generating infinitely many non-local charges. The main features of our method are a factorization principle and the use of , , and internal symmetries. The monodromy operator is shown to satisfy a Yang-Baxter algebra, the structure constants (i.e. the quantum R-matrix) of which are determined by two-particle S-matrix of the theory. We apply the method to the chiral SU(N) and the O(2N) Gross-Neveu models. |
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