Neutrino statistics and non-standard commutation relations

Details Neutrino statistics and non-standard commutation relations Neutrino statistics and non-standard commutation relations

2005-10-16

arxiv.org/abs/hep-ph/0510209v1

Phys.Lett. A359 (2006) 26-30

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, RevTeX4

Scientific paper

10.1016/j.physleta.2006.05.083

Recently it was suggested that the neutrino may violate the Pauli exclusion Principle (PEP). This renews interest in the systematic search for bilinear commutation relations that could describe deviations from PEP. In the context of this search we prove a no-go theorem which forbids a finite occupancy limit for an arbitrary system with a bilinear commutation relation. In other words, either the upper limit on the occupancy number is 1 (the ordinary fermionic case) or there is no upper limit at all. Some examples of the latter class include the usual Bose statistics, as well as non-standard quon statistics and infinite statistics.

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