Infinite lattice models by expansion with a non-Gaussian initial approximation

TL;DR

This paper investigates the use of a convergent series method with a non-Gaussian initial approximation for infinite lattice models, demonstrating its effectiveness through numerical comparisons with Monte Carlo simulations.

Contribution

It extends the convergent series approach to infinite lattice models and validates its accuracy against Monte Carlo extrapolations.

Findings

Convergent series method agrees with Monte Carlo results for infinite lattices.

The approach is effective for models with polynomial interactions.

Numerical validation supports the method's applicability to infinite systems.

Abstract

Recently, a convergent series employing a non-Gaussian initial approximation was constructed and shown to be an effective computational tool for the finite size lattice models with a polynomial interaction. Here we numerically examine the applicability of the convergent series method to models defined on infinite lattices. The comparison of the convergent series computations and the infinite lattice extrapolations of the Monte Carlo simulations reveals an agreement between two approaches.