Exactly solved lattice models: from polymer networks to an Ising model in a magnetic field

TL;DR

This paper reviews recent advances in exactly solved lattice models in statistical mechanics, highlighting work on polymers at surfaces and the E_8 mass spectrum of the dilute A_3 model, emphasizing their theoretical significance.

Contribution

It summarizes recent exact solutions in lattice models, including polymer surface interactions and the E_8 spectrum, advancing understanding of complex statistical systems.

Findings

Exact solutions for polymers at surfaces

Calculation of correlation lengths and E_8 spectrum

Insights into dilute A_3 lattice model

Abstract

Some recent developments in the study of exactly solved lattice models in statistical mechanics are briefly reviewed. These include work with Debbie Bennett-Wood and Aleks Owczarek on polymers at surfaces (cond-mat/9805148) and with Katherine Seaton on the calculation of correlation lengths and the E_8 mass spectrum of the dilute A_3 lattice model (hep-th/9712121).