The embedding structure and the shift operator of the U(1) lattice current algebra

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, Plain TeX; typos and a terminological mishap corrected; version to appear in Lett.Math.Phys

Scientific paper

10.1007/BF00400135

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.

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