Note on Unitary Symmetry in Strong Interactions 951
نویسندگان
چکیده
The purpose cif this note is to investigate consequences of the three-dimensional unitary group (denoted as U 3 hereafter), which is a certain generalization of the usual isotopic space group. Though many authors1>'2J,aJ have examined this problem, our procedure is simpler and some new results have been obtained. Also, we can treat different schemes of U3 such as Sakata's1>' 2J or Gell-Mann's3> on the same footing by our method. First of all, we shall give some motivations for introducing U3• All known interactions obey certain symmetries, i.e. they are subject to the corresponding transformation groups. We can classify all known groups appearing in the studies of elementary particles into the following three categories. (I) Space-group (i) Lorentz group (ii) Charge conjugation (II) Isotopic-groups (i) Isotopic spin rotation R3(I) (ii) Baryon gauge transformation R2 (v) Leptonic gauge transformation R 2<LJ (III) Gauge-transformation of the 2nd kind (i) Electro-magnetic field (ii) Yang-Mills field
منابع مشابه
Baryon-Baryon Interactions and the Eightfold Way
ECENTLY, Gell-Mann' and Ne'eman have independently proposed a scheme, called the eightfold way, in which the eight baryons (ftT, A., Z, and ) are assumed to form a supermultiplet, degenerate in the limit of a certain symmetry, and split into the familiar isotopic multiplets by a dynamical interaction. The symmetry is called unitary symmetry and the relevant group is the group of unitary unimodu...
متن کاملCombinatorics, Homology and Symmetry of codons
In nuclear physics and elementary particle theory concept of unitary symmetry and the related idea of the hierarchy of interactions play a fundamental role [1, 2]. So the relative smallness of the electromagnetic and weak interactions as compared to the strong interaction of the nucleons in the nucleus can be considered a model of the nucleus in the limit of exact symmetry of the strong interac...
متن کاملChiral Symmetry Breaking and Intersecting D-brane Systems
The general theme of these lectures is the use of the tools of string theory, in particular D-branes [1] and holography [2], to study chiral symmetry breaking in the strong interactions. Recall that QCD with Nf falvors of massless quarks with left and right-handed components qL, qR has a symmetry group U(Nf )L × U(Nf)R which acts as independent unitary rotations of qL, qR. We know from the iden...
متن کاملar X iv : h ep - p h / 96 07 33 9 v 1 1 6 Ju l 1 99 6 Hadronic interactions from effective chiral
Effective chiral Lagrangians involving constituent quarks, Goldstone bosons and long-distance gluons are believed to describe the strong interactions in an intermediate energy region between the confinement scale and the chiral symmetry breaking scale. Baryons and mesons in such a description are bound states of constituent quarks. We discuss the combined use of the techniques of effective chir...
متن کاملSymétrie des interactions fortes
We review recent developments in strong interaction symmetries. We have tried to emphasize a simple approach starting from very well known facts such as charge independance and isotopic spin. We then present unitary symmetry after a short introduction to the language of Lie Algebras. The experimental data, on masses, multiplets, scattering cross sections are confronted with the theory. We brief...
متن کامل