Monte Carlo evaluation of the continuum limit of the two-point function of two Euclidean Higgs real scalar fields subject to affine quantization

TL;DR

This paper uses Monte Carlo simulations to analyze the continuum limit of the two-point function in a Euclidean Higgs scalar field theory with two real fields, comparing canonical and affine quantization methods.

Contribution

It provides a comparative Monte Carlo study of canonical and affine quantization approaches for Euclidean Higgs scalar fields near the continuum limit.

Findings

Two-point functions computed at finite volume

Comparison of canonical and affine quantization results

Insights into continuum limit behavior of scalar fields

Abstract

We study canonical and affine versions of the quantized covariant Euclidean Higgs scalar field-theory for two real fields on four dimensional lattices through the Monte Carlo method. We calculate the two-point function near the continuum limit at finite volume.