A Bethe Ansatz Study of Free Energy and Excitation Spectrum for Even Spin Fateev Zamolodchikov Model
Subhankar Ray, J. Shamanna
TL;DR
This paper uses Bethe Ansatz techniques to analyze the free energy and excitation spectrum of an even spin Fateev-Zamolodchikov model, providing numerical insights into elementary excitations and ground state properties.
Contribution
It presents a detailed Bethe Ansatz analysis of a self-dual Z_N spin model with even spins, including numerical solutions for finite systems.
Findings
Calculated free energies for ferromagnetic and antiferromagnetic states
Identified elementary excitations and their dispersion relations
Provided numerical data on finite size lattice behavior
Abstract
A Bethe Ansatz study of a self dual Z_N spin model is undertaken for even spin system. One has to solve a coupled system of Bethe Ansatz Equations (BAE) involving zeroes of two families of transfer matrices. A numerical study on finite size lattices is done for identification of elementary excitations over the Ferromagnetic and Antiferromagnetic ground states. The free energies for both Ferromagnetic and Antiferromagnetic ground states and dispersion relation for elementary excitations are found.
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