Integrals of motion of the classical lattice sineGordon system
Abstract
We compute the local integrals of motions of the classical limit of the lattice sineGordon system, using a geometrical interpretation of the local sineGordon variables. Using an analogous description of the screened local variables, we show that these integrals are in involution. We present some remarks on relations with the situation at the roots of 1 and results on another latticization (linked to the principal subalgebra of MediaObjects/11232_2005_BF02065872_f1.tif rather than the homogeneous one). Finally, we analyze a module of “screened semilocal variables,” on which the whole MediaObjects/11232_2005_BF02065872_f2.tif acts.
 Publication:

Theoretical and Mathematical Physics
 Pub Date:
 June 1995
 DOI:
 10.1007/BF02065872
 arXiv:
 arXiv:hepth/9409075
 Bibcode:
 1995TMP...103..738E
 Keywords:

 High Energy Physics  Theory
 EPrint:
 (references added)