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Mathematical Physics, math-ph, Condensed Matter, Statistical Mechanics, cond-mat.stat-mech,Mathematics, Mathematical Physics, math.MP,Nonlinear Sciences, Exactly Solvable and Integrable Systems, nlin.SI
Abstract:
We obtain a new representation for the partition function of the six vertex
model with domain wall boundaries using a functional equation recently derived
by the author. This new representation is given in terms of a sum over the
permutation group where the partial homogeneous limit can be taken trivially.
We also show by construction that this partition function satisfies a linear
partial differential equation.