1993/11/04 by Djordje Šijački, Šijački, Djordje
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9311033
13 pages, Plain Tex
arxiv created 1993/11/04 · arxiv updated 2009/11/30
We 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 Gμν = gab Baμ Bbν (gab a color SU(3) metric). The ensuring effective theory is represented by a pseudo-diffeomorphisms gauge theory. The second -quantized Gμν field, together with the Lorentz generators close on the 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. 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 (SL(4,R) covariant) hadronic matter currents. These equations yield p-4 propagators, i.e. a linearly rising confining potential H(r) ∼ r, as well as linear J ∼ m2 Regge trajectories. The 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.)