Scaled affine quantization of $$\varphi ^4_4$$ φ 4 4 in the low temperature limit

Abstract

Abstract We prove through Monte Carlo analysis that the covariant Euclidean scalar field theory, $$\varphi ^r_n$$ φ n r , where r denotes the power of the interaction term and $$n = s + 1$$ n = s + 1 where s is the spatial dimension and 1 adds imaginary time, such that $$r = n = 4$$ 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.