TY - GEN

T1 - Massive particle spin 3/2 propagator

AU - Kristiano, J.

AU - Mart, T.

N1 - Funding Information:
This work has been partly supported by PITTA Grant Universitas Indonesia No. 689/UN2.R3.1/HKP.05.00/2017.
Publisher Copyright:
© 2018 Author(s).

PY - 2018/10/22

Y1 - 2018/10/22

N2 - 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.

AB - 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.

KW - 8-spinor field

KW - Rarita-Scwinger field

KW - Williams' propagator

UR - http://www.scopus.com/inward/record.url?scp=85056101101&partnerID=8YFLogxK

U2 - 10.1063/1.5064003

DO - 10.1063/1.5064003

M3 - Conference contribution

AN - SCOPUS:85056101101

T3 - AIP Conference Proceedings

BT - Proceedings of the 3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017

A2 - Yuniati, Ratna

A2 - Mart, Terry

A2 - Anggraningrum, Ivandini T.

A2 - Triyono, Djoko

A2 - Sugeng, Kiki A.

PB - American Institute of Physics Inc.

T2 - 3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017

Y2 - 26 July 2017 through 27 July 2017

ER -