2002/01/31 by Y. S. Kim, Kim, Y. S.
Mathematics · Physics and Astronomy · #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Neutrino Physics Research #Nuclear Theory (nucl-th) #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics #gr-qc #hep-ph #hep-th #math-ph #math.MP #nucl-th #quant-ph
paper · pdf · doi:10.48550/arxiv.hep-th/0201262
Latex 9 pages, 2 epsfigs, based on one of the lectures delivered at the Advanced Study Institute on Symmetries and Spin (Prague, Czech Republic, July 2001)
arxiv created 2002/01/31 · openalex publication_date 2002/01/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
There are gauge-transformation operators applicable to massless spin-1/2 particles within the little-group framework of internal space-time symmetries of massive and massless particles. It is shown that two of the SL(2,c) spinors are invariant under gauge transformations while the remaining two are not. The Dirac equation contains only the gauge-invariant spinors leading to polarized neutrinos. It is shown that the gauge-dependent SL(2,c) spinor is the origin of the gauge dependence of electromagnetic four-potentials. It is noted also that, for spin-1/2 particles, the symmetry group for massless particles is an infinite-momentum/zero-mass limit of the symmetry group for massive particles.