The embedding structure and the shift operator of the U(1) lattice current algebra
High Energy Physics - Theory
2009-10-28 v2
Abstract
The structure of block-spin embeddings of the U(1) lattice current algebra is described. For an odd number of lattice sites, the inner realizations of the shift automorphism areclassified. We present a particular inner shift operator which admits a factorization involving quantum dilogarithms analogous to the results of Faddeev and Volkov.
Keywords
Cite
@article{arxiv.hep-th/9503107,
title = {The embedding structure and the shift operator of the U(1) lattice current algebra},
author = {A. Yu. Alekseev and A. Recknagel},
journal= {arXiv preprint arXiv:hep-th/9503107},
year = {2009}
}
Comments
14 pages, Plain TeX; typos and a terminological mishap corrected; version to appear in Lett.Math.Phys