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Van der Waerden's Colouring Theorem and Classical Spin Systems

R. Chaudhury·D. Gangopadhyay·S. K. Paul
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Abstract

We find a non-invertible matrix representation for Van der Waerden's colouring theorem for two distinct colours in a one dimensional periodic lattice. Using this,an infinite one dimensional antiferromagnetic Ising system is mapped to a pseudo-ferromagnetic one, thereby relating the couplings. All this is reminiscent of renormalisation group.

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R. Chaudhury, D. Gangopadhyay, S. K. Paul. 1996-06-04. Van der Waerden's Colouring Theorem and Classical Spin Systems. https://doi.org/10.1142/s0217984997001134

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