To refer to this page use:
|Abstract:||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. A shortcut for both is facilitated by the Bowen-Lanford graph zeta function relation. The Kac-Ward relation is also extended here to produce a family of non planar interactions on Z(2) for which the partition function and the order-disorder correlators are solvable at special values of the coupling parameters/temperature.|
|Electronic Publication Date:||23-Nov-2018|
|Citation:||Aizenman, Michael, Warzel, Simone. (2018). Kac-Ward Formula and Its Extension to Order-Disorder Correlators Through a Graph Zeta Function. JOURNAL OF STATISTICAL PHYSICS, 173 (1755 - 1778. doi:10.1007/s10955-018-2184-9|
|Pages:||1755 - 1778|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||JOURNAL OF STATISTICAL PHYSICS|
Items in OAR@Princeton are protected by copyright, with all rights reserved, unless otherwise indicated.