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Note on the connection between spin and statistics
Phys. Rev. D 31, 2525 – Published 15 May, 1985
DOI: https://doi.org/10.1103/PhysRevD.31.2525
Abstract
There has been some discussion of the possibility of field theories which lack a manifestly covariant formulation, but where the fields do carry a nonlinear representation of the Poincaré group. We show that the latter assumption is sufficiently restrictive to allow a derivation of the spin-statistics connection for interpolating fields. The derivation is only valid for interacting fields.
References (11)
- M. Fierz, Helv. Phys. Acta 12, 3 (1939); W. Pauli, Phys. Rev. 58, 716 (1940).
- G. Lüders and B. Zumino, Phys. Rev. 110, 1450 (1958); N. Burgoyne, Nuovo Cimento 8, 607 (1958); G. F. Dell'Antonio, Ann. Phys. (N.Y.) 16, 153 (1961).
- N. N. Bogoliubov, A. A. Logunov, and I. T. Todorov, Introduction to Axiomatic Field Theory (Benjamin, New York, 1975).
- E. C. G. Sudarshan, in Elementary Particle Theory: Relativistic Groups and Analyticity (Nobel Symposium No. 8), edited by N. Svartholm (Almqvist and Wiksell, Stockholm, 1968), p. 367.
- E. P. Wigner, Ann. Math. 40, 139 (1939).
- I. Bengtsson, Ph.D. thesis, Göteborg, 1984.
- H. Leutwyler, J. R. Klauder and L. Streit, Nuovo Cimento 66A, 536 (1970); S. Schlieder and E. Seiler, Commun. Math. Phys. 25, 62 (1972).
- M. Flato, D. Sternheimer and C. Fronsdal, Commun. Math. Phys. 90, 563 (1983); B. Ek and B. Nagel, J. Math. Phys. 25, 1313 (1984).
- A. K. H. Bengtsson, I. Bengtsson and L. Brink, Nucl. Phys. B227, 31 (1983).
- I. Bengtsson, M. Cederwall, and O. Lindgren, Göteborg Report No. 83-55, 1983 (unpublished).
- S. Doplicher, R. Haag and J. Roberts, Commun. Math. Phys. 13, 1 (1969); ibid. 15, 173 (1969).