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Advances in High Energy Physics
Volume 2015, Article ID 490238, 8 pages
http://dx.doi.org/10.1155/2015/490238
Research Article

Complex-Mass Definition and the Structure of Unstable Particle’s Propagator

Research Institute of Physics, Southern Federal University, Pr. Stachky 194, Rostov-on-Don 344090, Russia

Received 30 July 2015; Revised 28 October 2015; Accepted 3 November 2015

Academic Editor: Shi-Hai Dong

Copyright © 2015 Vladimir Kuksa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

The propagators of unstable particles are considered in framework of the convolution representation. Spectral function is found for a special case when the propagator of scalar unstable particle has Breit-Wigner form. The expressions for the dressed propagators of unstable vector and spinor fields are derived in an analytical way for this case. We obtain the propagators in modified Breit-Wigner forms which correspond to the complex-mass definition.