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

1998/10/05 by Anastasia Doikou, Doikou, Anastasia, Rafael I. Nepomechie +1
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.hep-th/9810034

20 pages, LaTeX; expanded version of hep-th/9808012 ; to be published in Festschrift "Statistical Physics on the Eve of the Twenty-First Century"

arxiv created 1998/10/05 · arxiv updated 2009/11/30

Abstract

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.

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