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The hidden SO(4) symmetry of general SU(2) thirring models |
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| Institution: | 1. Dipartimento di Fisica dell''Università, Italy;2. INFN, I-56100 Pisa, Italy;1. Adam Mickiewicz University in Poznań, The Faculty of Physics, Uniwersytetu Poznańskiego 2, 61-614 Poznań, Poland;2. Rzeszów University of Technology, The Faculty of Mathematics and Applied Physics, Powstańców Warszawy 6, 35-959 Rzeszów, Poland;3. University of Rzeszów, College of Natural Sciences, Institute of Physics, Pigonia 1, 35-310 Rzeszów, Poland |
| Abstract: | General four-fermion interactions in two dimensions with SU(2) invariance are shown to possess a hidden SO(4) symmetry. As a consequence physical states belong to irreducible representations of the two commuting O(3) subgroups and their interactions decouple accordingly. Two independnet stable trajectories of the renormalization group are shown to exist perturbatively and are consistently reproduced by abelian bosonization. |
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