Version 1
: Received: 27 December 2023 / Approved: 27 December 2023 / Online: 28 December 2023 (07:10:06 CET)
Version 2
: Received: 28 December 2023 / Approved: 28 December 2023 / Online: 28 December 2023 (15:23:57 CET)
Fantoni, R. Continuum Limit of the Green Function in Scaled Affine φ44 Quantum Euclidean Covariant Relativistic Field Theory. Quantum Rep.2024, 6, 134-141.
Fantoni, R. Continuum Limit of the Green Function in Scaled Affine φ44 Quantum Euclidean Covariant Relativistic Field Theory. Quantum Rep. 2024, 6, 134-141.
Fantoni, R. Continuum Limit of the Green Function in Scaled Affine φ44 Quantum Euclidean Covariant Relativistic Field Theory. Quantum Rep.2024, 6, 134-141.
Fantoni, R. Continuum Limit of the Green Function in Scaled Affine φ44 Quantum Euclidean Covariant Relativistic Field Theory. Quantum Rep. 2024, 6, 134-141.
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.
Keywords
Field theory; affinequantization; continuum limit; Green function
Subject
Physical Sciences, Theoretical Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Commenter: Riccardo Fantoni
Commenter's Conflict of Interests: Author