On the spin content of the classical massless Rarita-Schwinger system

Valenzuela, Mauricio; Zanelli, Jorge

doi:10.21468/SciPostPhysProc.14.047

SciPost Physics Proceedings

On the spin content of the classical massless Rarita-Schwinger system

Mauricio Valenzuela, Jorge Zanelli

SciPost Phys. Proc. 14, 047 (2023) · published 24 November 2023

doi: 10.21468/SciPostPhysProc.14.047
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34th International Colloquium on Group Theoretical Methods in Physics

Abstract

We analyze the Rarita-Schwinger massless theory in the Lagrangian and Hamiltonian approaches. At the Lagrangian level, the standard gamma-trace gauge fixing constraint leaves a 1/2 and a 3/2 propagating Poincaré group helicities. At the Hamiltonian level, the result depends on whether the Dirac conjecture is assumed or not. In the affirmative case, a secondary first class constraint is added to the total Hamiltonian and a corresponding gauge fixing condition must be imposed, completely removing the 1/2 sector. In the opposite case, the 1/2 field propagates and the Hamilton field equations match the Euler-Lagrange equations.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysProc.14.047
TI  - On the spin content of the classical massless Rarita-Schwinger system
PY  - 2023/11/24
UR  - https://scipost.org/SciPostPhysProc.14.047
JF  - SciPost Physics Proceedings
JA  - SciPost Phys. Proc.
VL  - 
IS  - 14
SP  - 047
A1  - Valenzuela, Mauricio
AU  - Zanelli, Jorge
AB  - We analyze the Rarita-Schwinger massless theory in the Lagrangian and Hamiltonian approaches. At the Lagrangian level, the standard gamma-trace gauge fixing constraint leaves a 1/2 and a 3/2 propagating Poincaré group helicities. At the Hamiltonian level, the result depends on whether the Dirac conjecture is assumed or not. In the affirmative case, a secondary first class constraint is added to the total Hamiltonian and a corresponding gauge fixing condition must be imposed, completely removing the 1/2 sector. In the opposite case, the 1/2 field propagates and the Hamilton field equations match the Euler-Lagrange equations.
ER  -

@Article{10.21468/SciPostPhysProc.14.047,
	title={{On the spin content of the classical massless Rarita-Schwinger system}},
	author={Mauricio Valenzuela and Jorge Zanelli},
	journal={SciPost Phys. Proc.},
	pages={047},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysProc.14.047},
	url={https://scipost.org/10.21468/SciPostPhysProc.14.047},
}

Cited by 3

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¹ ² Mauricio Valenzuela,
¹ ² Jorge Zanelli

Funder for the research work leading to this publication

Comisión Nacional de Investigación Científica y Tecnológica