High Energy Particle Physics

    

The Problem of Particle-Antiparticle in Particle Theory

Authors: Felix Lev

The title of this workshop is: "What comes beyond standard models?". Standard models are based on standard Poincare invariant quantum theory (SQT). Here irreducible representations (IRs) of the Poincare algebra are such that in each IR, the energies are either >=0 or <=0. In the first case, IRs are associated with particles and in the second case - with antiparticles, while particles for which all additive quantum numbers (electric charge, baryon and lepton quantum numbers) equal zero are called neutral. However, SQT is a special degenerate case of finite quantum theory (FQT) in the formal limit p→∞ where p is a characteristic of a ring in FQT. In FQT, one IR of the symmetry algebra describes a particle and its antiparticle simultaneously, and there are no conservation laws of additive quantum numbers. One IR in FQT splits into two standard IRs with positive and negative energies as a result of symmetry breaking in the formal limit p→∞. The construction of FQT is one of the most fundamental (if not the most fundamental) problems of particle theory.

Comments: 20 Pages. 2 figures. Published in "Proceedings to the 25th Workshop What Comes Beyond the Standard Models, Bled, July 4-10, 2022", pp. 146-161.: http://bsm.fmf.uni-lj.si/bled2022bsm/talks/BledProceedings2022_Acceptable_06_12.pdf

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[v1] 2023-03-08 19:04:28

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