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

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.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0012-CE61-A Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0012-CE63-6
Genre: Journal Article

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1010.5059 (Preprint), 153KB
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 Creators:
Galleas, Wellington1, Author           
Affiliations:
1Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24016              

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Free keywords: 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.

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 Dates: 2010-10-252011
 Publication Status: Issued
 Pages: 14 pages
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1010.5059
URI: http://arxiv.org/abs/1010.5059
DOI: 10.1088/1742-5468/2011/01/P01013
 Degree: -

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Title: Journal of Statistical Mechanics: Theory and Experiment
Source Genre: Journal
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Publ. Info: Bristol, England : Institute of Physics Publishing
Pages: - Volume / Issue: 2011 (1) Sequence Number: P01013 Start / End Page: - Identifier: ISSN: 1742-5468
CoNE: https://pure.mpg.de/cone/journals/resource/111076098244006