Mass, Zero Mass and ...Nophysics

Mass, Zero Mass and ...Nophysics In this paper we demonstrate that massless particles cannot be considered as the 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 $$\mathop {\mathrm{sol}}\nolimits _2$$ sol 2 . Starting from the proper orthochronous Lorentz group $$\mathop {\mathrm{Lor}}\nolimits _{1,3}$$ Lor 1 , 3 we extend Wigner’s little group by an additional generator, obtaining the maximal solvable or Borel subgroup $$\mathop {\mathrm{Bor}}\nolimits _{1,3}$$ Bor 1 , 3 which is equivalent to the Kronecker sum of two copies of $$\mathop {\mathrm{sol}}\nolimits _2$$ sol 2 , telling something about the helicity of particle and antiparticle states. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Applied Clifford Algebras Springer Journals

Mass, Zero Mass and ...Nophysics

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Publisher
Springer International Publishing
Copyright
Copyright © 2017 by Springer International Publishing
Subject
Physics; Mathematical Methods in Physics; Theoretical, Mathematical and Computational Physics; Applications of Mathematics; Physics, general
ISSN
0188-7009
eISSN
1661-4909
D.O.I.
10.1007/s00006-017-0758-2
Publisher site
See Article on Publisher Site

Abstract

In this paper we demonstrate that massless particles cannot be considered as the 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 $$\mathop {\mathrm{sol}}\nolimits _2$$ sol 2 . Starting from the proper orthochronous Lorentz group $$\mathop {\mathrm{Lor}}\nolimits _{1,3}$$ Lor 1 , 3 we extend Wigner’s little group by an additional generator, obtaining the maximal solvable or Borel subgroup $$\mathop {\mathrm{Bor}}\nolimits _{1,3}$$ Bor 1 , 3 which is equivalent to the Kronecker sum of two copies of $$\mathop {\mathrm{sol}}\nolimits _2$$ sol 2 , telling something about the helicity of particle and antiparticle states.

Journal

Advances in Applied Clifford AlgebrasSpringer Journals

Published: Feb 16, 2017

References

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