2004/10/08 by Djordje Sijacki
Physics and Astronomy · #hep-th
published as SFIN 15 A3 (2002) 213
arxiv created 2004/10/08 · arxiv updated 2009/12/01
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 Aaμ Abν (gab a color SU(3) metric) is reviewed. The QCD gauge is approximated by effective "chromodiffeomorphisms", i.e. by a gauge theory based on a pseudo-diffeomorphisms group. 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 successfully applied to hadron resonances. The pseudo-gravity potential reaches over to Nuclear Physics, where its JP = 2+, 0+ quanta provide for the ground state excitations of the Arima-Iachello Interacting Boson Model.