Scaled Affine Quantization of ${\phi }_4^4$ in the Low Temperature Limit

Abstract

We prove through Monte Carlo analysis that the covariant euclidean scalar field theory, ${\phi }_n^r$, where $r$ denotes the power of the interaction term and $n=s+1$ where $s$ is the spatial dimension and $1$ adds imaginary time, such that $r=n=4$ can be acceptably quantized using scaled affine quantization and the resulting theory is nontrivial and renormalizable even at low temperatures in the highly quantum regime.

8 pages, 1 figure. arXiv admin note: text overlap with arXiv:2109.13447

References in corpus (5)

• 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