Inverse Laplace transform on the lattice spacing

TL;DR

This paper introduces an inverse Laplace transform method on lattice spacing to improve extrapolation of strong coupling expansions, demonstrating its effectiveness on the 2D non-linear O(N) model.

Contribution

It presents a novel inverse Laplace transform approach for lattice extrapolation, validated on the 2D non-linear O(N) model with results matching existing data.

Findings

Approximation of continuum susceptibility agrees with theoretical predictions.

Method successfully extrapolates strong coupling expansion to the scaling region.

Validated on 2D non-linear O(N) model for N≥3.

Abstract

Inverse Laplace transform on the lattice spacing is introduced as a computational framework of the extrapolation of the strong coupling expansion to the scaling region. We apply the transform to the two-dimensional non-linear O(N) model at N>=3 and show that the approximation of the continuum limit of the susceptibility agrees with the existing theoretical and Monte Carlo data.