### Abstract

We have derived the formulation of pure spin-5/2 propagator by using the antisymmetric tensor spinor (ATS) formalism proposed by Acosta et. al. The ATS prescription provides an alternative mechanism to avoid the background problems that appear in the Rarita-Schwinger formulation, e.g., the emergence of lower spin background and the violation of relativity in the electromagnetic field. The carrier space of the spin of interest (5/2, 0) ? (0, 5/2) of SO(1,3) is embedded into a reducible space constructed by the tensor product of antisymmetric tensor; the antisymmetric tensor and the Dirac spinor. The pure spin-5/2 sector is extracted by the projection operator in the basis constructed by the Casimir operator in terms of Lorentz-group generator. The propagator is obtained by calculating the inverse of the equation of motion. We used Feyncalc to simplify the calculation.

Original language | English |
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Title of host publication | Conference on Theoretical Physics and Nonlinear Phenomena, CTPNP 2019 |

Subtitle of host publication | Excursion from Vacuum to Condensed Matter |

Editors | Husin Alatas, Bum-Hoon Lee, Agus Purwanto, Laksana Tri Handoko, Eny Latifah, Umar Mohideen, Andrivo Rusydi, Hari Wisodo, Markus Diantoro, Arif Hidayat, Ahmad Taufiq, Tasrief Surungan, Norhayati Ahmad, Suruati Sufian, Ardian Nata Atmaja, Imam Fachruddin, Bobby Eka Gunara, Mirza Satriawan, Albert Sulaiman |

Publisher | American Institute of Physics Inc. |

ISBN (Electronic) | 9780735419933 |

DOIs | |

Publication status | Published - 18 May 2020 |

Event | 2019 Conference on Theoretical Physics and Nonlinear Phenomena: Excursion from Vacuum to Condensed Matter, CTPNP 2019 - Malang, East Java, Indonesia Duration: 9 Oct 2019 → 10 Oct 2019 |

### Publication series

Name | AIP Conference Proceedings |
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Volume | 2234 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Conference

Conference | 2019 Conference on Theoretical Physics and Nonlinear Phenomena: Excursion from Vacuum to Condensed Matter, CTPNP 2019 |
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Country | Indonesia |

City | Malang, East Java |

Period | 9/10/19 → 10/10/19 |

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## Cite this

*Conference on Theoretical Physics and Nonlinear Phenomena, CTPNP 2019: Excursion from Vacuum to Condensed Matter*[040017] (AIP Conference Proceedings; Vol. 2234). American Institute of Physics Inc.. https://doi.org/10.1063/5.0008183