The Relation of Constraints on Particle Statistics for Different Species of Particles

Details The Relation of Constraints on Particle Statistics for Different Species of Particles The Relation of Constraints on Particle Statistics for Different Species of Particles

1998-08-18

arxiv.org/abs/hep-th/9808106v1

Found.Phys.29:397-407,1999

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, no figures, issue of Foundations of Physics in honor of D.M. Greenberger

Scientific paper

10.1023/A:1018866831865

Quons are particles characterized by the parameter $q$, which permits smooth interpolation between Bose and Fermi statistics; $q=1$ gives bosons, $q=-1$ gives fermions. In this paper we give a heuristic argument for an extension of conservation of statistics to quons with trilinear couplings of the form $\bar{f}fb$, where $f$ is fermion-like and $b$ is boson-like. We show that $q_f^2=q_b$. In particular, we relate the bound on $q_{\gamma}$ for photons to the bound on $q_e$ for electrons, allowing the very precise bound for electrons to be carried over to photons. An extension of this argument suggests that all particles are fermions or bosons to high precision.

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