Spinor symmetries and underlying properties
Mathematical Physics
2020-02-04 v2 High Energy Physics - Theory
math.MP
Abstract
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.
Cite
@article{arxiv.1910.00995,
title = {Spinor symmetries and underlying properties},
author = {J. M. Hoff da Silva and R. T. Cavalcanti and D. Beghetto and R. da Rocha},
journal= {arXiv preprint arXiv:1910.00995},
year = {2020}
}
Comments
7 pages, typos corrected, to appear in EPJC