2024/07/07 by A. D. Alhaidari, Alhaidari, A. D.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic number #Algebraic structures and combinatorial models #Field (mathematics) #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quantum Mechanics and Applications #Quantum field theory #Quantum mechanics #Theoretical physics
paper · pdf · doi:10.48550/arxiv.2407.14524
openalex publication_date 2024/07/07 · openalex created_date 2024/10/14 · openalex updated_date 2026/07/28
Using the spectral properties of orthogonal polynomials, we introduce an algebraic version of quantum field theory for elementary particles. Closed-loop integrals in the Feynman diagrams for computing transition amplitudes are divergence-free. Consequently, the theory is finite and no renormalization scheme is required.