We discuss the group theory relevant to the ground-state baryons in large Nc QCD. For very large representation, the group generators become classical variables. We find the form of the classical generators for the completely symmetric N index representation of SU(m) as N → ∞ and derive an integral formula for the matrix elements of an arbitrary polynomial in the group generators between low-sp...

We discuss the group theory relevant to the ground-state baryons in large N c QCD. For very large representation, the group generators become classical variables. We find the form of the classical generators for the completely symmetric N index representation of SU(m) as N → ∞ and derive an integral formula for the matrix elements of an arbitrary polynomial in the group generators between low-s...

We discuss the group theory relevant to the ground-state baryons in large Nc QCD. For very large representation, the group generators become classical variables. We find the form of the classical generators for the completely symmetric N index representation of SU(m) as N → ∞ and derive an integral formula for the matrix elements of an arbitrary polynomial in the group generators between low-sp...

We study the universal .properties of period-doubling bifurcation sequences in twodimensional area-preserving maps. This paper begins with a description of the period-doubling process based on the work of Greene, MacKay, Vivaidi, and Feigenbaum [I] and others [2, 3, 4]. The scaling laws which the period-doubling process is found to obey are explained through a renormalization argument previousl...

The technique known as group averaging provides powerful machinery for the study of constrained systems. However, it is likely to be well defined only in a limited set of cases. Here, we investigate the possibility of using a ‘renormalized’ group averaging in certain models. The results of our study may indicate a general connection between superselection sectors and the rate of divergence of t...

We study the dynamical analogue of the matrix algebra M(n), constructed from a dynamical R-matrix given by Etingof and Varchenko. A left and a right corepresentation of this algebra, which can be seen as analogues of the exterior algebra representation, are defined and this defines dynamical quantum minor determinants as the matrix elements of these corepresentations. These elements are studied...