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.

8 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