Finite Spectral Quantum Field Theory
A. D. Alhaidari
TL;DR
This paper introduces a finite quantum field theory for elementary particles using spectral properties of orthogonal polynomials, resulting in inherently finite Feynman integrals and eliminating the need for renormalization.
Contribution
It presents a novel finite quantum field theory framework based on spectral methods, avoiding traditional renormalization procedures.
Findings
Feynman loop integrals are finite in this framework
No renormalization scheme is needed
Spectral properties of orthogonal polynomials underpin the theory
Abstract
Using the spectral properties of orthogonal polynomials, we introduce a finite version of quantum field theory for elementary particles. Closed-loop integrals in the Feynman diagrams for computing transition amplitudes are finite. Consequently, no renormalization scheme is required in this theory
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Taxonomy
TopicsQuantum Mechanics and Applications · Algebraic structures and combinatorial models · Advanced Topics in Algebra