6533b82ffe1ef96bd12950f7
RESEARCH PRODUCT
Mass, zero mass and ... nophysics
Stefan GrooteR. Saarsubject
High Energy Physics - TheoryAntiparticle010308 nuclear & particles physicsGroup (mathematics)Generator (category theory)Applied MathematicsMathematics::Classical Analysis and ODEsFOS: Physical sciencesMathematical Physics (math-ph)01 natural sciencesHelicityLorentz groupGeneral Physics (physics.gen-ph)Physics - General PhysicsHigh Energy Physics - Theory (hep-th)Borel subgroupSolvable group0103 physical sciencesSymmetry (geometry)010306 general physicsMathematical PhysicsMathematical physicsMathematicsdescription
In this paper we demonstrate that massless particles cannot be considered as limiting case of massive particles. Instead, the usual symmetry structure based on semisimple groups like $U(1)$, $SU(2)$ and $SU(3)$ has to be replaced by less usual solvable groups like the minimal nonabelian group ${\rm sol}_2$. Starting from the proper orthochronous Lorentz group ${\rm Lor}_{1,3}$ we extend Wigner's little group by an additional generator, obtaining the maximal solvable or Borel subgroup ${\rm Bor}_{1,3}$ which is equivalent to the Kronecker sum of two copies of ${\rm sol}_2$, telling something about the helicity of particle and antiparticle states.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-02-16 |