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.

Comments: 13 pages, 2 tables, 3 figures