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

Galleas, Wellington

doi:10.1088/1742-5468/2011/01/P01013

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

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Galleas, Wellington
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Galleas, W. (2011). A new representation for the partition function of the six vertex model with domain wall boundaries. Journal of Statistical Mechanics: Theory and Experiment, 2011(1): P01013. doi:10.1088/1742-5468/2011/01/P01013.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-CE61-A

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.