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Preserved in Portico This version is not peer-reviewed
Continuum Limit of the Green Function in Scaled Affine φ4 4 Quantum Euclidean Covariant Relativistic Field Theory
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)
Version 2 : Received: 28 December 2023 / Approved: 28 December 2023 / Online: 28 December 2023 (15:23:57 CET)
A peer-reviewed article of this Preprint also exists.
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 $\vp_4^4$ 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, $\hbar^2/\vp^2$ which arises only in the quantum aspects.
Keywords
Field theory; affine quantization; 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.
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