TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysProc.14.034
TI  - Spin degrees of freedom incorporated in conformal group: Introduction of an intrinsic momentum operator
PY  - 2023/11/24
UR  - https://scipost.org/SciPostPhysProc.14.034
JF  - SciPost Physics Proceedings
JA  - SciPost Phys. Proc.
VL  - 
IS  - 14
SP  - 034
A1  - Kuwata, Seiichi
AB  - Considering spin degrees of freedom incorporated in the conformal generators, we introduce an intrinsic momentum operator $\pi_\mu$, which is feasible for the Bhabha wave equation. If a physical state $\psi_{ph}$ for spin s is annihilated by the $\pi_\mu$, the degree of $\psi_{ph}$, deg $\psi_{ph}$, should equal twice the spin degrees of freedom, $2 ( 2 s + 1)$ for a massive particle, where the multiplicity $2$ indicates the chirality. The relation deg $\psi_{ph}$ = 2(2s+1) holds in the representation $R_5$ (s,s), irreducible representation of the Lorentz group in five dimensions.
ER  -

@Article{10.21468/SciPostPhysProc.14.034,
	title={{Spin degrees of freedom incorporated in conformal group: Introduction of an intrinsic momentum operator}},
	author={Seiichi Kuwata},
	journal={SciPost Phys. Proc.},
	pages={034},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysProc.14.034},
	url={https://scipost.org/10.21468/SciPostPhysProc.14.034},
}