2025/02/11 by Wojciech Dybalski, Dybalski, Wojciech
Computer Science · Mathematics · Physics and Astronomy · #81T08 #81T10 #81T16 #Advanced Mathematical Modeling in Engineering #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.2502.07546
openalex publication_date 2025/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a scalar Euclidean QFT with interaction given by a bounded, measurable function V such that V±:=limw→ ±∞V(w) exist. We find a field renormalization such that all the n-point connected Schwinger functions for n≠ 2 exist non-perturbatively in the UV limit. They coincide with the tree-level one-particle irreducible Schwinger functions of the erf(ϕ/√(2)) interaction with a coupling constant (1)/(2) (V+ - V-). By a slight modification of our construction we can change this coupling constant to (1)/(2) (V+ - V-), where V±:= limw→ 0± V(w). Thereby non-Gaussianity of these latter theories is governed by a discontinuity of V at zero. The open problem of controlling also the two-point function of these QFTs is discussed.