arXiv:hep-ph/9306225

(Para)bosons, (para)fermions, quons and other beasts in the menagerie of particle statistics

Oscar Wallace Greenberg, Daniel M. Greenberger, T. V. Greenbergest

Published Jun 4, 1993• 6 citations

Abstract

After some general comments about statistics and the TCP theorem, I discuss experimental searches for violations of the exclusion principle and theories which allow for such violations.

DOI: 10.48550/arxiv.hep-ph/9306225

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arXiv:hep-ph/9306225

(Para)bosons, (para)fermions, quons and other beasts in the menagerie of particle statistics

Oscar Wallace Greenberg, Daniel M. Greenberger, T. V. Greenbergest

Published Jun 4, 1993• 6 citations

arXiv HTML PDF

Abstract

After some general comments about statistics and the TCP theorem, I discuss experimental searches for violations of the exclusion principle and theories which allow for such violations.

DOI: 10.48550/arxiv.hep-ph/9306225

Related papers

Quantum field theory of fermions constructed from bosons. Generalization to Para-Fermi statistics

Andrés J. Kálnay, Enrique Mac Cotrina, K. V. Kademova

International Journal of Theoretical PhysicsFeb 1, 197317 citations

Particles with small violations of Fermi or Bose statistics

Oscar Wallace Greenberg

I discuss the statistics of "quons" (pronounced to rhyme with muons), particles whose annihilation and creation operators obey the $q$ -deformed commutation relation (the quon algebra or $q$ -mutator) which interpolates between fermions and bosons. Topics discussed include representations of the quon algebra, proof of the $\mathrm{TCP}$ theorem and clustering, violation of the usual locality properties, and experimental constraints on violations of the Pauli exclusion principle (i.e., Fermi statistics) and of Bose statistics.I discuss the statistics of "quons" (pronounced to rhyme with muons), particles whose annihilation and creation operators obey the $q$-deformed commutation relation (the quon algebra or $q$-mutator) which interpolates between fermions and bosons. Topics discussed include representations of the quon algebra, proof of the $\mathrm{TCP}$ theorem and clustering, violation of the usual locality properties, and experimental constraints on violations of the Pauli exclusion principle (i.e., Fermi statistics) and of Bose statistics.

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fieldsJun 15, 1991376 citations

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Quon Statistics for Composite Systems and a Limit on the Violation of the Pauli Principle for Nucleons and Quarks

Oscar Wallace Greenberg, Robert C. Hilborn

The quon algebra describes particles, ``quons,'' that are neither fermions nor bosons. The parameter $q$ attached to a quon labels a smooth interpolation between bosons ( $q\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}+1$ ) and fermions ( $q\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}\ensuremath{-}1$). Wigner and Ehrenfest and Oppenheimer showed that a composite system of identical bosons and fermions is a fermion if it contains an odd number of fermions and is a boson otherwise. We generalize this and show that ${q}_{\mathrm{composite}}{\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}q}_{\mathrm{constituent}}^{{n}^{2}}$ for a system of $n$ identical quons. Using this generalization, we find bounds on possible violations of the Pauli exclusion principle for nucleons and quarks based on such bounds for nuclei.The quon algebra describes particles, ``quons,'' that are neither fermions nor bosons. The parameter $q$ attached to a quon labels a smooth interpolation between bosons ( $q\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}+1$) and fermions ( $q\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}\ensuremath{-}1$). Wigner and Ehrenfest and Oppenheimer showed that a composite system of identical bosons and fermions is a fermion if it contains an odd number of fermions and is a boson otherwise. We generalize this and show that ${q}_{\mathrm{composite}}{\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}q}_{\mathrm{constituent}}^{{n}^{2}}$ for a system of $n$ identical quons. Using this generalization, we find bounds on possible violations of the Pauli exclusion principle for nucleons and quarks based on such bounds for nuclei.

arXiv:quant-ph/9903020Physical Review LettersNov 29, 199939 citations

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I discuss the statistics of "quons" (pronounced to rhyme with muons), particles whose annihilation and creation operators obey the

q

-deformed commutation relation (the quon algebra or

q

-mutator) which interpolates between fermions and bosons. Topics discussed include representations of the quon algebra, proof of the

\mathrm{TCP}

theorem and clustering, violation of the usual locality properties, and experimental constraints on violations of the Pauli exclusion principle (i.e., Fermi statistics) and of Bose statistics.

The quon algebra describes particles, ``quons,'' that are neither fermions nor bosons. The parameter

q

attached to a quon labels a smooth interpolation between bosons (

q\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}+1

) and fermions ( $q\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}\ensuremath{-}1$). Wigner and Ehrenfest and Oppenheimer showed that a composite system of identical bosons and fermions is a fermion if it contains an odd number of fermions and is a boson otherwise. We generalize this and show that

{q}_{\mathrm{composite}}{\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}q}_{\mathrm{constituent}}^{{n}^{2}}

for a system of

n

identical quons. Using this generalization, we find bounds on possible violations of the Pauli exclusion principle for nucleons and quarks based on such bounds for nuclei.