Parity and Charge Conjugation Symmetries and S Matrix of the XXZ Chain

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We formulate the notion of parity for the periodic XXZ spin chain within the Quantum Inverse Scattering Method. We also propose an expression for the eigenvalues of the charge conjugation operator. We use these discrete symmetries to help classify low-lying S^z=0 states in the critical regime, and we give a direct computation of the S matrix.
20 pages, LaTeX; expanded version of hep-th/9808012 ; to be published in Festschrift "Statistical Physics on the Eve of the Twenty-First Century"

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