A short proof of the Kac-Ward formula

DOI10.4171/AIHPD/24zbMath1331.05021arXiv1502.04322OpenAlexW2963535180MaRDI QIDQ254753

Marcin Lis

Publication date: 16 March 2016

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04322

zbMATH Keywords

Ising modelKac-Ward formula

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (5)

The Feynman identity for planar graphs ⋮ The planar Ising model and total positivity ⋮ Lectures on the Ising and Potts Models on the Hypercubic Lattice ⋮ Non-backtracking loop soups and statistical mechanics on spin networks ⋮ Kac-Ward formula and its extension to order-disorder correlators through a graph zeta function

Cites Work

• The signed loop approach to the Ising model: foundations and critical point
• Ising model observables and non-backtracking walks
• Random Walk: A Modern Introduction
• Remarks on the Combinatorial Approach to the Ising Problem

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