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Interacting N-vector order parameters with O(N) symmetry

Andrea Pelissetto·Ettore Vicari
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Abstract

We consider the critical behavior of the most general system of two N-vector order parameters that is O(N) invariant. We show that it may a have a multicritical transition with enlarged symmetry controlled by the chiral O(2)xO(N) fixed point. For N=2, 3, 4, if the system is also invariant under the exchange of the two order parameters and under independent parity transformations, one may observe a critical transition controlled by a fixed point belonging to the mn model. Also in this case there is a symmetry enlargement at the transition, the symmetry being [SO(N)+SO(N)]xC_2, where C_2 is the symmetry group of the square.

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Andrea Pelissetto, Ettore Vicari. 2004-09-21. Interacting N-vector order parameters with O(N) symmetry. https://arxiv.org/abs/hep-th/0409214

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