2022/10/11 by Alexei Filinkov, Filinkov, Alexei, Ian Fuss +1
Mathematics · #81T05 #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical and Theoretical Analysis
paper · pdf · doi:10.48550/arxiv.2210.05132
openalex publication_date 2022/10/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An axiomatic quantum field theory applied to the self-interacting boson field is realised in terms of generalised operators that allows us to form products and take derivatives of the fields in simple and mathematically rigorous ways. Various spaces are explored for representation of these operators with this exploration culminating with a Hida-Colombeau algebra. Rigorous well defned Hamiltonians are written using ordinary products of interacting scalar fields that are represented as generalised operators on simplified Hida-Colombeau algebras.