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

Abstract

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 at small values of the bare coupling constant and 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.

14 pages, 3 figures, 1 table

References in corpus (3)

• Affine Quantization on the Half Line
• Monte Carlo evaluation of the continuum limit of the two-point function of the Euclidean free real scalar field subject to affine quantization
• Monte Carlo evaluation of the continuum limit of the two-point function of two Euclidean Higgs real scalar fields subject to affine quantization

Cited by in corpus (7)

• Kinetic Factors in Affine Quantization and Their Role in Field Theory Monte Carlo
• Monte Carlo evaluation of the continuum limit of the two-point function of the Euclidean free real scalar field subject to affine quantization
• Monte Carlo evaluation of the continuum limit of the two-point function of two Euclidean Higgs real scalar fields subject to affine quantization
• Scaled Affine Quantization of Ultralocal ${\phi }_2^4$ a comparative Path Integral Monte Carlo study with Canonical Quantization
• Scaled Affine Quantization of ${\phi }_3^{12}$ is Nontrivial
• Continuum limit of the Green function in scaled affine ${\phi }_4^4$ quantum Euclidean covariant relativistic field theory
• Scaled Affine Quantization of ${\phi }_4^4$ in the Low Temperature Limit