Scaled Affine Quantization of $\varphi^4_4$ in the Low Temperature Limit

• URL: http://arxiv.org/abs/2203.05988v2
• Date: Wed, 14 Sep 2022 12:38:52 GMT
• Title: Scaled Affine Quantization of $\varphi^4_4$ in the Low Temperature Limit
• Authors: Riccardo Fantoni and John R. Klauder
• Abstract summary: We prove through Monte Carlo analysis that the covariant euclidean scalar field theory, $varphir_n$, is nontrivial and renormalizable even at low temperatures in the highly quantum regime.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We prove through Monte Carlo analysis that the covariant euclidean scalar field theory, $\varphi^r_n$, 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.

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