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Finite Spectral Quantum Field Theory

General Physics 2025-10-07 v7 High Energy Physics - 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

Keywords

Cite

@article{arxiv.2407.14524,
  title  = {Finite Spectral Quantum Field Theory},
  author = {A. D. Alhaidari},
  journal= {arXiv preprint arXiv:2407.14524},
  year   = {2025}
}

Comments

Dedicated to the memories of my PhD thesis advisor and friend, the late Christian Fronsdal, who was passionate about sailing his self-built trimaran and playing Go as well as doing mathematical physics

R2 v1 2026-06-28T17:47:42.125Z