Scaled affine quantization of φ312 is nontrivial

Abstract

We prove through path integral Monte Carlo that the covariant Euclidean scalar field theory, [Formula: see text], where [Formula: see text] denotes the power of the interaction term and [Formula: see text] with [Formula: see text] as the spatial dimension and 1 adds imaginary time, such that [Formula: see text], [Formula: see text] can be acceptably quantized using scaled affine quantization (AQ) and the resulting theory is nontrivial, unlike what happens using canonical quantization which finds it trivial.