QCD Originated Dynamical Symmetry for Hadrons

dc.creatorŠijački, Djordje
dc.date1993-11-04
dc.date.accessioned2026-07-07T06:27:50Z
dc.date.available2026-07-07T06:27:50Z
dc.descriptionWe extend previous work on the IR regime approximation of QCD in which the dominant contribution comes from a dressed two-gluon effective metric-like field $G_{μν} = g_{ab} B^{a}_μ B^{b}_ν$ ($g_{ab}$ a color SU(3) metric). The ensuring effective theory is represented by a pseudo-diffeomorphisms gauge theory. The second -quantized $G_{μν}$ field, together with the Lorentz generators close on the $\bar{SL}(4,R)$ algebra. This algebra represents a spectrum generating algebra for the set of hadron states of a given flavor - hadronic "manifields" transforming w.r.t. $\bar{SL}(4,R)$ (infinite-dimensional) unitary irreducible representations. The equations of motion for the effective pseudo-gravity are derived from a quadratic action describing Riemannian pseudo-gravity in the presence of shear ($\bar{SL}(4,R)$ covariant) hadronic matter currents. These equations yield $p^{-4}$ propagators, i.e. a linearly rising confining potential $H(r) \sim r$, as well as linear $J \sim m^{2}$ Regge trajectories. The $\bar{SL}(4,R)$ symmetry based dynamical theory for the QCD IR region is applied to hadron resonances. All presently known meson and baryon resonances are successfully accommodated and various missing states predicted. (Lectures presented at the Danube Workshop '93, June 1993, Belgrade, Yugoslavia.)
dc.description13 pages, Plain Tex
dc.identifierhttps://arxiv.org/abs/hep-th/9311033
dc.identifierhttp://arxiv.org/abs/hep-th/9311033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97528
dc.subjectHigh Energy Physics - Theory
dc.titleQCD Originated Dynamical Symmetry for Hadrons
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