Monte Carlo Evaluation of the Continuum Limit of the Two-Point Function of the Euclidean Free Real Scalar Field Subject to Affine Quantization

Summary: The study focused on canonical and affine versions of non-renormalizable Euclidean classical scalar field-theory with twelfth-order power-law interactions on three dimensional lattices. It was found that while the canonical version approached a 'free-theory' in the continuum limit, the affine version remained well-defined as an interaction model.

Summary: The study focuses on the canonical and affine versions of the quantized covariant Euclidean free real scalar field-theory on four dimensional lattices, utilizing the Monte Carlo method to calculate the two-point function near the continuum limit at finite volume. The investigation reveals that affine quantization provides meaningful results for the two-point function when exact analytic results are unavailable, highlighting the necessity of numerical methods.