Spin Matrix for the Scaled Periodic Ising Model

TL;DR

This paper computes the matrix elements of the spin operator for the periodic Ising model in the massive scaling limit, providing insights into the model's behavior at criticality.

Contribution

It introduces a method to calculate spin matrix elements explicitly in the scaled limit for the periodic Ising model.

Findings

Explicit formulas for spin matrix elements in the massive scaling limit

Enhanced understanding of the Ising model's critical behavior

Potential applications to quantum field theory and statistical mechanics

Abstract

The matrix elements of the spin operator for the periodic Ising model in a basis of eigenvectors for the transfer matrix are calculated in the massive scaling limit.