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

• URL: http://arxiv.org/abs/2402.10903v2
• Date: Thu, 11 Apr 2024 16:07:38 GMT
• Title: Continuum limit of the Green function in scaled affine $\varphi^4_4$ quantum Euclidean covariant relativistic field theory
• Authors: Riccardo Fantoni,
• Abstract summary: We prove through path integral Monte Carlo computer experiments that the affine quantization of the $varphi_44$ scaled Euclidean covariant relativistic scalar field theory is a valid quantum field theory.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We prove through path integral Monte Carlo computer experiments that the affine quantization of the $\varphi_4^4$ 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, $\hbar^2/\varphi^2$ which arises only in the quantum aspects.

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