English

Scaled Affine Quantization of $\varphi^4_4$ in the Low Temperature Limit

High Energy Physics - Lattice 2022-12-06 v2 High Energy Physics - Theory Computational Physics Quantum 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=n=4r = n = 4 can be acceptably quantized using scaled affine quantization and the resulting theory is nontrivial and renormalizable even at low temperatures in the highly quantum regime.

Keywords

Cite

@article{arxiv.2203.05988,
  title  = {Scaled Affine Quantization of $\varphi^4_4$ in the Low Temperature Limit},
  author = {Riccardo Fantoni and John R. Klauder},
  journal= {arXiv preprint arXiv:2203.05988},
  year   = {2022}
}

Comments

8 pages, 1 figure. arXiv admin note: text overlap with arXiv:2109.13447