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Quark - Gluon Model With Conformal Symmetry

Authors: C. Dullemond, T. A. Rijken and E. van Beveren

Ref.: Il Nuovo Cimento A 80, 401-428 (1984)

Abstract: A SO(4,2) conformally symmetric model is presented for strong interactions at low energies. In order to obtain a realistic description of interacting gluons and quarks, two Higgs fields are introduced which break the SO(4,2) symmetry spontaneously into SO(3,2) and SO(3)xSO(2) symmetry, respectively. We obtain an alternative flat metric, invariant under rotations and translations which leave a preferred time-like geodesic invariant. In terms of this metric quarks and gluons carry out harmonic oscillations with universal frequency ν=(2πR)−1 within a spherical cavity of radius R. This leads to a hadron spectrum with universal level spacing hν, which is in agreement with our earlier observations.

DOI: 10.1007/BF02773503

URL: www.springerlink.com