
Open access
Date
2019-03Type
- Journal Article
Abstract
We develop an efficient method to compute the torus partition function of the six-vertex model exactly for finite lattice size. The method is based on the algebro-geometric approach to the resolution of Bethe ansatz equations initiated in a previous work, and on further ingredients introduced in the present paper. The latter include rational Q-system, primary decomposition, algebraic extension and Galois theory. Using this approach, we probe new structures in the solution space of the Bethe ansatz equations which enable us to boost the efficiency of the computation. As an application, we study the zeros of the partition function in a partial thermodynamic limit of M × N tori with N ≫ M. We observe that for N → ∞ the zeros accumulate on some curves and give a numerical method to generate the curves of accumulation points. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000336263Publication status
publishedExternal links
Journal / series
Journal of High Energy PhysicsVolume
Pages / Article No.
Publisher
SpringerSubject
Bethe Ansatz; Differential and Algebraic Geometry; Lattice Integrable ModelsOrganisational unit
03896 - Beisert, Niklas / Beisert, Niklas
Funding
161341 - Multi-loop Scattering Amplitudes via Algebraic Geometry (SNF)
More
Show all metadata