PATH-INTEGRALS AND PARASTATISTICS

The propagator and corresponding path integral for a system of identic al particles obeying parastatistics are derived, It is found that the statistical weights of topological sectors of the path integral for pa rafermions 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 unita rity and factorizability (strong cluster decomposition). The realizati on of simple maximal occupancy (Gentile) statistics is shown to requir e ghost states.