The Spin-Statistics Theorem
- 1 July 1962
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 3 (4) , 637-649
- https://doi.org/10.1063/1.1724267
Abstract
A derivation of the connection between spin and statistics is obtained for spin 0, ½, and 1 fields with arbitrary local interactions. The basis used is the Schwinger action principle, whose assumptions are specified; they include neither positive energy spectrum nor TCP invariance. The connection can be obtained without either of these two extra requirements in most cases. The remaining cases are characterized by non‐TCP invariant free Lagrangians and nonpositive definite free‐particle energies. Commutation relations among different fields are also briefly discussed by means of the action principle.Keywords
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