Scaled affine quantization of $$\varphi ^4_4$$ in the low temperature limit
Riccardo Fantoni (Dipartimento di Fisica, Università di Trieste, Strada Costiera 11, Grignano, Trieste, 34151, Italy); John Klauder (Department of Physics and Department of Mathematics, University of Florida, Gainesville, FL, 32611-8440, USA)
We prove through Monte Carlo analysis that the covariant Euclidean scalar field theory, $$\varphi ^r_n$$ , 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 $$r = n = 4$$ 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.