https://doi.org/10.1140/epjc/s10052-020-7693-4
Regular Article - Theoretical Physics
Spinor symmetries and underlying properties
1
Departamento de Física e Química, Universidade Estadual Paulista, UNESP, Guaratinguetá, SP, Brazil
2
Center of Mathematics, Federal University of ABC, Santo André, 09210-580, Brazil
3
International Centre for Theoretical Physics, Strada Costiera 11, 34151, Trieste, Italy
* e-mail: julio.hoff@unesp.br
Received:
2
October
2019
Accepted:
30
January
2020
Published online:
12
February
2020
By exploring a spinor space whose elements carry a spin 1/2 representation of the Lorentz group and satisfy the the Fierz–Pauli–Kofink identities we show that certain symmetries operations form a Lie group. Moreover, we discuss the reflex of the Dirac dynamics in the spinor space. In particular, we show that the usual dynamics for massless spinors in the spacetime is related to an incompressible fluid behavior in the spinor space.
© The Author(s), 2020
