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19 April 2024
 
  » arxiv » cond-mat/9507115

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Real Space Renormalization Group Methods and Quantum Groups
Miguel A. Martin-Delgado ; German Sierra ;
Date 26 Jul 1995
Subject Condensed Matter; Quantum Algebra | cond-mat hep-th math.QA q-alg
AbstractWe apply real-space RG methods to study two quantum group invariant Hamiltonians, that of the XXZ model and the Ising model in a transverse field defined in an open chain with appropiate boundary terms. The quantum group symmetry is preserved under the RG transformation except for the appearence of a quantum group anomalous term which vanishes in the classical case. We obtain correctly the line of critical XXZ models. In the ITF model the RG-flow coincides with the tensor product decomposition of cyclic irreps. of $SU_q(2)$ with $q^4=1$.
Source arXiv, cond-mat/9507115
Other source [GID 448224] pmid10061645
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