The dimer partition function

Details The dimer partition function The dimer partition function

1993-03-30

arxiv.org/abs/hep-lat/9303015v1

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, Latex, NBI-HE-93-16

Scientific paper

We apply the Ginzburg criterion to the dimer problem and we solve the apparent contradiction of a system with mean field $\alpha={1\over2}$, the typical value of tricritical systems, and upper critical dimension $D_{cr}=6$. We find that the system has upper critical dimension $D_{cr}=6$ , while for $D\le4$ it should undergo a first order phase transition. We comment on the latter wrong result examining the approximation we used.

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