Infinite statistics, symmetry breaking and combinatorial hierarchy

Details Infinite statistics, symmetry breaking and combinatorial hierarchy Infinite statistics, symmetry breaking and combinatorial hierarchy

2008-11-30

arxiv.org/abs/0812.0185v1

Mod.Phys.Lett.A24:1425-1435,2009

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 11 pages

Scientific paper

10.1142/S0217732309030825

The physics of symmetry breaking in theories with strongly interacting quanta obeying infinite (quantum Boltzmann) statistics known as quons is discussed. The picture of Bose/Fermi particles as low energy excitations over nontrivial quon condensate is advocated. Using induced gravity arguments it is demonstrated that the Planck mass in such low energy effective theory can be factorially (in number of degrees of freedom) larger than its true ultraviolet cutoff. Thus, the assumption that statistics of relevant high energy excitations is neither Bose nor Fermi but infinite can remove the hierarchy problem without necessity to introduce any artificially large numbers. Quantum mechanical model illustrating this scenario is presented.

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