A staggered sixvertex model with noncompact continuum limit
Abstract
The antiferromagnetic critical point of the Potts model on the square lattice was identified by Baxter [R.J. Baxter, Proc. R. Soc. London A 383 (1982) 43] as a staggered integrable sixvertex model. In this work, we investigate the integrable structure of this model. It enables us to derive some new properties, such as the Hamiltonian limit of the model, an equivalent vertex model, and the structure resulting from the Z symmetry. Using this material, we discuss the lowenergy spectrum, and relate it to geometrical excitations. We also compute the critical exponents by solving the Bethe equations for a large lattice width N. The results confirm that the lowenergy spectrum is a collection of continua with typical exponent gaps of order (.
 Publication:

Nuclear Physics B
 Pub Date:
 February 2008
 DOI:
 10.1016/j.nuclphysb.2007.07.004
 Bibcode:
 2008NuPhB.789..483I