Kac-Ward formula and its extension to order-disorder correlators through a graph zeta function


A streamlined derivation of the Kac-Ward formula for the planar Ising model’s partition function is presented and applied in relating the kernel of the Kac-Ward matrices’ inverse with the correlation functions of the Ising model’s order-disorder correlation functions. Used in the analysis is the formula’s minor extension beyond planarity. A shortcut for… (More)


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