有限代数量子场论

arXiv - PHYS - General Physics Pub Date : 2024-07-07 DOI:arxiv-2407.14524

A. D. Alhaidari

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引用次数: 0

摘要

基于最近提出的一种用于有结构或无结构粒子的量子场论（QFT），即 "结构代数 QFT（SAQFT）"，我们引入了一种无限 QFT。也就是说，无结构基本粒子的量子场论不需要重正化，费曼图中的环积分是无限的。它是一种利用正交多项式的代数理论，以 SAQFT 的无结构部门为基础。

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Finite Algebraic Quantum Field Theory

Based on a recently proposed quantum field theory (QFT) for particles with or without structure, called "Structural Algebraic QFT (SAQFT)", we introduce a finite QFT. That is, a QFT for structureless elementary particles that does not require renormalization where loop integrals in the Feynman diagrams are finite. It is an algebraic theory utilizing orthogonal polynomials and based on the structureless sector of SAQFT.

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arXiv - PHYS - General Physics

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