Path Integrals and Parastatistics

Abstract

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.

14 pages, no figures, phyzzx.tex

References in corpus (3)

• Probabilities and Path-Integral Realization of Exclusion Statistics
• The Third Virial Coefficient of Free Anyons
• Anyonic Partition Functions and Windings of Planar Brownian Motion

Cited by in corpus (11)

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• Partition function for general multi-level systems
• Permutation Invariant Statistics, Duality and Simple Interpolations
• Doi-Peliti Path Integral Methods for Stochastic Systems with Partial Exclusion
• Path integral representation for inverse third order wave operator within the Duffin-Kemmer-Petiau formalism. I
• Engineering of Anyons on M5-Probes via Flux Quantization
• Evaluation of the Permutational Structure of the Canonical Ensemble Partition Function