TL;DR
This paper offers a concise proof of the Kac-Ward formula, which calculates the partition function of the Ising model on planar graphs, simplifying previous approaches.
Contribution
The paper introduces a shorter, more elegant proof of the Kac-Ward formula, enhancing understanding of the Ising model's partition function on planar graphs.
Findings
Simplified proof of the Kac-Ward formula
Clarification of the mathematical structure of the Ising model
Potential for easier computation of partition functions
Abstract
We present a short proof of the Kac-Ward formula for the partition function of the Ising model on planar graphs.
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