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06 October 2024
 
  » arxiv » 2206.00146

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Algebraic Quantum Field Theory: A theory for particles with structure
A. D. Alhaidari ;
Date 1 Jun 2022
AbstractNon-elementary particles are particles with internal structure or particles that are made up of elementary constituents like the nucleons, which contain quarks and gluons. We introduce an algebraic formulation of quantum field theory (AQFT) that could handle such particles in which orthogonal polynomials play a central role. If successful, AQFT could be viewed as a generalization of the conventional quantum field theory (QFT) that does not account for the effect of such internal structure. For simplicity, we consider non-elementary scalar particles in 3+1 Minkowski space-time. The aim of this short expose is to motivate further studies and research using this approach.
Source arXiv, 2206.00146
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