Localization and symmetries

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dc.creatorMorchio, G.
dc.creatorStrocchi, F.
dc.date2006-07-11
dc.date2006-12-22
dc.date.accessioned2026-07-07T11:07:20Z
dc.date.available2026-07-07T11:07:20Z
dc.descriptionThe violation of the Noether relation between symmetries and charges is reduced to the time dependence of the charge associated to 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 to 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 eta' mass, as a consequence of the non locality of the (conserved) current.
dc.descriptionInvited contribution to ``The Quantum Universe'', dedicated to G. Ghirardi for his 70th birthday
dc.identifierhttps://arxiv.org/abs/math-ph/0607015
dc.identifierhttp://arxiv.org/abs/math-ph/0607015
dc.identifierJ.Phys.A40:3173-3188,2007
dc.identifierdoi:10.1088/1751-8113/40/12/S17
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189812
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subject81T05; 81T13; 81R40
dc.titleLocalization and symmetries
dc.typetext

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