Abstract
Without assuming the existence of interpolating fields, it is shown that any particle in a massive quantum field theory possesses a unique antiparticle and carries parastatistics of finite order. This closes a gap in the hitherto existing theoretical argument leading to particle statistics and to the existence of antiparticles.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Doplicher, S., Haag, R., Roberts, J.: Commun. Math. Phys.23, 199–230 (1971); Commun. Math. Phys.35, 49–85 (1974)
Swieca, J.A.: Phys. Rev. D13, 312 (1976)
Buchholz, D., Fredenhagen, K.: Nucl. Phys. B154, 226–238 (1979)
Buchholz, D., Fredenhagen, K.: Locality and the structure of particle states in relativistic quantum theory. I. One-particle states. II. Multiparticle states (to be published)
Bisognano, J.J., Wichmann, E.H.: J. Math. Phys. (N.Y.)16, 985–1007 (1975)
Streater, R.F., Wightman, A.S.: PCT, spin and statistics and all that. New York: Benjamin 1964
Sakai, S.:C*-algebras andW*-algebras. Berlin, Heidelberg, New York: Springer 1971
Borchers, H.-J.: Commun. Math. Phys.4, 315–323 (1967)
Author information
Authors and Affiliations
Additional information
Communicated by R. Haag
Rights and permissions
About this article
Cite this article
Fredenhagen, K. On the existence of antiparticles. Commun.Math. Phys. 79, 141–151 (1981). https://doi.org/10.1007/BF01208291
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01208291