Continuum limit of the Green function in scaled affine ${\phi }_4^4$ quantum Euclidean covariant relativistic field theory

Abstract

We prove through path integral Monte Carlo computer experiments that the affine quantization of the ${\phi }_4^4$ scaled Euclidean covariant relativistic scalar field theory is a valid quantum field theory with a well defined continuum limit of the one- and two-point-function. Affine quantization leads to a completely satisfactory quantization of field theories using situations that involve scaled behavior leading to an unexpected, ${\hslash }^2/{\phi }^2$ which arises only in the quantum aspects.

13 pages, 2 tables, 3 figures

References in corpus (8)

• The Magnificent Realm of Affine Quantization: valid results for particles, fields, and gravity
• Triviality of ${\phi }^4$ theory in a finite volume scheme adapted to the broken phase
• Kinetic Factors in Affine Quantization and Their Role in Field Theory Monte Carlo
• Low temperature acoustic polaron localization
• 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