A new representation for the partition function of the six vertex model with domain wall boundaries

Details A new representation for the partition function of the six vertex model with domain wall boundaries A new representation for the partition function of the six vertex model with domain wall boundaries

2010-10-25

arxiv.org/abs/1010.5059v2

Physics

Mathematical Physics

14 pages, v2: added references, accepted for publication in J. Stat. Mech

Scientific paper

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.

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