abstract

A general introduction to coloured quark models is given and their phenomenology is described with particular reference to the new particles. It is shown that there are essentially three types of colour models with colour excitation when the colour group is SU(3) — Han–Nambu, Greenberg and a model which has the same charges as that of Tati and which can be thought of as the (Gell–Mann colour scheme with excitation of the colour degrees of freedom. Particular attention is paid to the four problems of colour models for \(\psi \) phenomenology — the radiative decays, the \(G\) parity conservation, the lack of deep inelastic thresh- old phenomena and the apparent discovery of dileptons at SPEAR.

abstract

If preliminary experimental results on the new particles are confirmed (primarily the \(\psi \eta \) decay cf the \(\psi ^{\prime }\)), and if conventional theoretical prejudices are accepted, it is shown that Harari’s SU(6) model is the minimal \(N\)-quark model (with hidden color) which can accommodate these constraints.

abstract

This article surveys the theoretical and experimental developments in the search for a transformation between current and constituent quarks.

abstract

Recent developments in the problem of the Melosh transformation for interacting quarks are discussed.

abstract

The M.I.T. bag model for hadron structure is reviewed.

abstract

We discuss the origin of inter-hadronic forces in the M.I.T. bag model and are led to consider a method of quantisation in which the boundary of the bag is a quantum variable.

abstract

A model of coloured quarks interacting through non Abelian vector gauge potentials is analyzed. Conditions are described under which the self consistently determined quark mass equals infinity. A covariant bound state equation for color singlet mesons is derived which is three dimensional. The Regge trajectories predicted by such a model cannot rise indefinitely.

abstract

Contents: 1. Introduction, 2. The quantum action, A. Definitions, B. Approximate calculation, 3. Quantum meaning of static classical fields, A. Stability criteria and the zero frequency mode, B. Explicit examples, C. The first quantum correction, D. Quantum reinterpretation, E. Canonical quantization, F. Additional aspects of the theory in one dimension, 4. Quantum meaning of time dependent classical fields, A. Soliton solutions of classical field equations, B. WKB method for field theoretic bound states, C. WKB method for field theoretic scattering states, 5. Prospects for the theory.