Strong coupling analysis of the large-N 2-d lattice chiral models

TL;DR

This paper uses strong coupling analysis to study large-N 2D lattice chiral models, demonstrating that strong coupling expansion can predict continuum physical quantities and show asymptotic scaling.

Contribution

It provides a novel strong coupling analysis of large-N 2D lattice chiral models on square and honeycomb lattices, showing predictive power for continuum quantities.

Findings

Strong coupling expansion predicts continuum physical quantities within 5-10%.

Asymptotic scaling observed in a large range of beta values.

Fundamental mass matches continuum predictions in the energy scheme.

Abstract

Two dimensional large-N chiral models on the square and honeycomb lattices are investigated by a strong coupling analysis. Strong coupling expansion turns out to be predictive for the evaluation of continuum physical quantities, to the point of showing asymptotic scaling. Indeed in the strong coupling region a quite large range of beta values exists where the fundamental mass agrees, within about 5% on the square lattice and about 10% on the honeycomb lattice, with the continuum predictions in the %%energy scheme.