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Feynman Functional Integrals for Systems of Indistinguishable Particles
Phys. Rev. D 3, 1375 – Published 15 March, 1971
DOI: https://doi.org/10.1103/PhysRevD.3.1375
Abstract
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.
References (9)
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- Cécile Morette DeWitt, Ann. Institut Henri Poincaré (A) XI, 153 (1969)
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- Peter Hilton, Algebraic Topology—An Introductory Course (Courant Institute of Mathematical Sciences, New York University, New York, 1969), p. 67
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