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arXiv · 2402.10903

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

Riccardo Fantoni
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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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Riccardo Fantoni. 2023-12-29. Continuum limit of the Green function in scaled affine $\varphi^4_4$ quantum Euclidean covariant relativistic field theory. https://doi.org/10.3390/quantum6020010

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