Massive particle spin 3/2 propagator

J. Kristiano, Terry Mart

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In the literature, massive particle with spin 3/2 propagator is explained by many models. However, the common model used in most studies is the Rarita-Schwinger one. Based on an inhomogenous Lorentz group theory, angular momentum (J) of a particle is coupled with boost generator (K). J and K can be decoupled by defining a new pair of generators, A and B with notation (A, B). Rarita-Schwinger representation is a tensor product of the vector (1/2, 1/2) representation and the Dirac (1/2, 0) ? (0, 1/2) representation. This tensor product gives a spinor-vector representation. In other way, massive particle with spin 3/2 may have the (3/2, 0) ? (0, 3/2) representation. This paper examines the difference between (1/2, 1/2) ? - [(1/2, 0) ? (0, 1/2)] and (3/2, 0) ? (0, 3/2) representations of masive spin 3/2 propagator.

Original languageEnglish
Title of host publicationProceedings of the 3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017
EditorsRatna Yuniati, Terry Mart, Ivandini T. Anggraningrum, Djoko Triyono, Kiki A. Sugeng
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735417410
DOIs
Publication statusPublished - 22 Oct 2018
Event3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017 - Bali, Indonesia
Duration: 26 Jul 201727 Jul 2017

Publication series

NameAIP Conference Proceedings
Volume2023
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017
CountryIndonesia
CityBali
Period26/07/1727/07/17

Keywords

  • 8-spinor field
  • Rarita-Scwinger field
  • Williams' propagator

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  • Cite this

    Kristiano, J., & Mart, T. (2018). Massive particle spin 3/2 propagator. In R. Yuniati, T. Mart, I. T. Anggraningrum, D. Triyono, & K. A. Sugeng (Eds.), Proceedings of the 3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017 [020006] (AIP Conference Proceedings; Vol. 2023). American Institute of Physics Inc.. https://doi.org/10.1063/1.5064003