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

High Energy Physics - Lattice 2024-04-15 v5 High Energy Physics - Theory Computational Physics

Abstract

We prove through Monte Carlo analysis that the covariant euclidean scalar field theory, φnr\varphi^r_n, where rr denotes the power of the interaction term and n=s+1n = s + 1 where ss is the spatial dimension and 11 adds imaginary time, such that r=12,n=3r = 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.

Keywords

Cite

@article{arxiv.2011.09862,
  title  = {Scaled Affine Quantization of $\varphi^{12}_3$ is Nontrivial},
  author = {Riccardo Fantoni},
  journal= {arXiv preprint arXiv:2011.09862},
  year   = {2024}
}

Comments

8 pages, 1 figures

R2 v1 2026-06-23T20:22:18.471Z