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

We study canonical and affine versions of the quantized covariant Euclidean free real scalar field-theory on four dimensional lattices through the Monte Carlo method. We calculate the two-point function near the continuum limit at finite volume. Our investigation shows that affine quantization is able to give meaningful results for the two-point function for which is not available an exact analytic result and therefore numerical methods are necessary.

Automated 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.