TY - JOUR
T1 - Functional relations in the eight-vertex model
AU - Bazhanov, Vladimir V.
AU - Mangazeev, Vladimir V.
N1 - Publisher Copyright:
© 2006 Author(s).
PY - 2006
Y1 - 2006
N2 - We observe that the exactly solved eight-vertex solid-on-solid model contains an hitherto unnoticed arbitrary field parameter, similar to the horizontal field in the six-vertex model. The parameter is required to describe a continuous spectrum of the unrestricted solid-on-solid model, which has an infinite-dimensional space of states even for a finite lattice. The introduction of the continuous field parameter allows us to completely review the theory of functional relations in the eight-vertex/SOS-model from a uniform analytic point of view.
AB - We observe that the exactly solved eight-vertex solid-on-solid model contains an hitherto unnoticed arbitrary field parameter, similar to the horizontal field in the six-vertex model. The parameter is required to describe a continuous spectrum of the unrestricted solid-on-solid model, which has an infinite-dimensional space of states even for a finite lattice. The introduction of the continuous field parameter allows us to completely review the theory of functional relations in the eight-vertex/SOS-model from a uniform analytic point of view.
UR - http://www.scopus.com/inward/record.url?scp=85055714602&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:85055714602
SN - 1824-8039
VL - 38
JO - Proceedings of Science
JF - Proceedings of Science
T2 - 2006 Bethe Ansatz: 75 Years Later, Solvay 2006
Y2 - 19 October 2006 through 21 October 2006
ER -