Narrow Results

We complete the realization by braided subfactors, announced by Ocneanu, of all SU(3)-modular invariant partition functions previously classified by Gannon.

The exciting findings and activities in particle physics in the 50's and 60's will be discussed from an experimentalist's viewpoint. Particular emphasis will be placed on the description of several crucial discoveries (including the omega minus) and on the remarkable insight, guidance, and major contributions of Murray Gell-Mann to the understanding of the symmetry of hadrons which led to the development of the standard model of the strong interactions.

I give a brief review of advances in the strong interaction theory. This talk was delivered at the Conference in honor of Murray Gell-Mann's 80th birthday, 24–26 February 2010, Singapore.

We propose a mechanism displaying gluon confinement, as defined by the behavior of the propagators, in a model of SU(2) gauge fields. The model originates from an explicitly broken SU(3) gauge theory giving rise to a replica model composed of three mixed SU(2) groups. The mechanism consists in the usual SU(3) Yang–Mills theory in the Landau gauge, with a soft breaking term in such a way as to change the field propagation and group content at low energies. The relation of this soft mass term with the Gribov problem is presented and the link between soft terms and the scaling and decoupling solutions is discussed.

We discus the role of Quantum Chromodynamics (QCD) in low energy phenomena involving the color-spin symmetry of the quark model. We then combine it with orbital and isospin symmetry to obtain wave functions with the proper permutation symmetry, focusing on multi-quark systems.

Complexities of using an SU(4) and SU(3) basis in the 1p0f shell are discussed. SU(3) representations are detailed for 2–5 particles. Earlier calculations by McGrory are discussed with the view of using the SU(3) model to describe multi-particle multi-hole states.

A brief account of interesting moments in the genesis of the quark paradigm is presented.