Non-integrable Ising models in cylindrical geometry: Grassmann representation and infinite volume limit
Giovanni Antinucci,
Alessandro Giuliani,
Rafael L. Greenblatt
Abstract:In this paper, meant as a companion to [AGG20], we consider a class of non-integrable 2D Ising models in cylindrical domains, and we discuss two key aspects of the multiscale construction of their scaling limit. In particular, we provide a detailed derivation of the Grassmann representation of the model, including a self-contained presentation of the exact solution of the nearest neighbor model in the cylinder. Moreover, we prove precise asymptotic estimates of the fermionic Green's function in the cylinder, r… Show more
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