2006/07/31 by G. Morchio, Franco Strocchi, F. Strocchi · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th #math-ph #math.MP #msc:81R40 #msc:81T05 #msc:81T13
paper · pdf · doi:10.1088/1751-8113/40/12/s17
published as J.Phys.A40:3173-3188,2007 · Invited contribution to ``The Quantum Universe'', dedicated to G. Ghirardi for his 70th birthday
arxiv created 2006/12/22 · openalex publication_date 2007/03/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
The violation of the Noether relation between symmetries and charges is reduced to the time dependence of the charge associated with a conserved current. For the U (1) gauge symmetry a non-perturbative control of the charge commutators is obtained by an analysis of the Coulomb charged fields. From this, in the unbroken case we obtain a correct expression for the electric charge on the Coulomb states, its superselection and the presence of massless vector bosons; in the broken case, we obtain a general non-perturbative version of the Higgs phenomenon, i.e. the absence of massless Goldstone bosons and of massless vector bosons. The conservation of the (gauge-dependent) current associated with the U (1) axial symmetry in QCD is shown to be compatible with the time dependence of the corresponding charge commutators and a non-vanishing η' mass, as a consequence of the non-locality of the (conserved) current.