Path Integrals and Parastatistics

Details Path Integrals and Parastatistics Path Integrals and Parastatistics

1996-03-27

arxiv.org/abs/hep-th/9603179v1

Nucl.Phys.B474:529-539,1996

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, no figures, phyzzx.tex

Scientific paper

10.1016/0550-3213(96)00277-5

The propagator and corresponding path integral for a system of identical particles obeying parastatistics are derived. It is found that the statistical weights of topological sectors of the path integral for parafermions and parabosons are simply related through multiplication by the parity of the permutation of the final positions of the particles. Appropriate generalizations of statistics are proposed obeying unitarity and factorizability (strong cluster decomposition). The realization of simple maximal occupancy (Gentile) statistics is shown to require ghost states.

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