### 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 language | English |
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Title of host publication | Proceedings of the 3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017 |

Editors | Ratna Yuniati, Terry Mart, Ivandini T. Anggraningrum, Djoko Triyono, Kiki A. Sugeng |

Publisher | American Institute of Physics Inc. |

ISBN (Electronic) | 9780735417410 |

DOIs | |

Publication status | Published - 22 Oct 2018 |

Event | 3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017 - Bali, Indonesia Duration: 26 Jul 2017 → 27 Jul 2017 |

### Publication series

Name | AIP Conference Proceedings |
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Volume | 2023 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Conference

Conference | 3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017 |
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Country | Indonesia |

City | Bali |

Period | 26/07/17 → 27/07/17 |

### Keywords

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

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## Cite this

*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