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Phys. Rev. D 3, 1375–1378 (1971)

Feynman Functional Integrals for Systems of Indistinguishable Particles

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Michael G. G. Laidlaw* and Cécile Morette DeWitt
Department of Physics, University of North Carolina, Chapel Hill, North Carolina 27514

Received 1 April 1970; revised 16 November 1970; published in the issue dated 15 March 1971

The theory of path integration is extended to include systems whose configuration space is multiply connected, and it is seen that there are as many distinct propagators as there are scalar representations of the associated fundamental group. It is shown that the configuration space for a system of indistinguishable particles is multiply connected. There are only two propagators for this system, giving bosons and fermions, and showing that the Feynman formalism excludes parastatistics.

© 1971 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.3.1375
DOI:
10.1103/PhysRevD.3.1375
PACS:

*Work supported in part by the National Science Foundation and the National Aeronautics and Space Administration.