prof. dr hab. Jerzy Lukierski, IFT Uwr

New Approach to Colour Triplets of Quarks, Graded Extension of Lorentz Symmetries and Algebraic Confinement

The modification of standard description of colour quarks triplets is proposed. We introduce 12-component colour quark multiplets, with Z_3 symmetry playing important algebraic role in quarks confinement. In such framework SU(3) colour symmetry is entangled with Z_3-graded extension of Lorentz symmetry. The extended Lorentz covariance leads to the presence of 12 colour quark multiplets which can be linked with the appearence of all observed internal symmetries of quarks. This talk is based on my recent paper with Richard Kerner (arXiv:1901.10936)