Spinor symmetries and underlying properties

Spinor symmetries and underlying properties

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...

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 2020-02, Vol.80 (2), p.1-6, Article 117
Hauptverfasser: da Silva, J. M. Hoff, Cavalcanti, R. T., Beghetto, D., da Rocha, R.
Format: Artikel
Sprache:eng
Schlagworte:
Astronomy
Astrophysics and Cosmology
Elementary Particles
Fluid dynamics
Fluid flow
Hadrons
Heavy Ions
Incompressible flow
Incompressible fluids
Lie groups
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
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Zusammenfassung: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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-020-7693-4