Quantum Groups, Correlation Functions and Infrared Divergences

Abstract

We show in two simple examples that for one-dimensional quantum chains with quantum group symmetries, the correlation functions of local operators are, in general, infrared divergent. If one considers, however, correlation functions invariant under the quantum group, the divergences cancel out.

7 pages, BONN-HE-93-02

References in corpus (1)

• A Two Parameter Deformation of the SU(1/1) Superalgebra and the XY Quantum Chain in a Magnetic Field

Cited by in corpus (10)

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• Four State Models and Clifford Algebras
• Quantum Chains with $G{L}_q(2)$ Symmetry
• A Generalized Duality Transformation of the Anisotropic Xy Chain in a Magnetic Field
• A differential U-module algebra for U=U_q sl(2) at an even root of unity
• Dipper-Donkin algebra as global symmetry of quantum chains