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- Title
A Solvable Algebra for Massless Fermions.
- Authors
Groote, Stefan; Saar, Rein
- Abstract
We derive the stabiliser group of the four-vector, also known as Wigner's little group, in case of massless particle states, as the maximal solvable subgroup of the proper orthochronous Lorentz group of dimension four, known as the Borel subgroup. In the absence of mass, particle states are disentangled into left- and right-handed chiral states, governed by the maximal solvable subgroups sol 2 ± of order two. Induced Lorentz transformations are constructed and applied to general representations of particle states. Finally, in our conclusions, it is argued how the spin-flip contribution might be closely related to the occurrence of nonphysical spin operators.
- Subjects
BOREL subgroups; MAXIMAL subgroups; ALGEBRA; LORENTZ groups; LORENTZ transformations; FERMIONS
- Publication
Symmetry (20738994), 2024, Vol 16, Issue 1, p97
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym16010097