Scaled Affine Quantization of ${\phi }_3^{12}$ is Nontrivial

Abstract

We prove through Monte Carlo analysis that the covariant euclidean scalar field theory, ${\phi }_n^r$, 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 $r=12,n=3$ can be acceptably quantized using scaled affine quantization and the resulting theory is nontrivial, unlike what happens using canonical quantization when the system is plagued by asymptotic freedom.

arXiv comment8 pages, 1 figures

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Cited by in corpus (1)

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