arXiv subjects
Publications and source records attributed to A. Klitz.
In view of the remarkable progress in the analysis of random matrix models during the last years we report on recent work of Eynard on the generation of a new cut in finite distance from the cuts given in the initial theory. This 'birth of a cut' leads to a third order phase transition.
Eynard's formulation of Hermitean 1-matrix models in terms of intrinsic quantities of an associated hyperelliptic Riemann surface is rephrased as a Lagrangean field theory of a scalar particle propagating on the hyperelliptic surface with multiple self-interactions and particle-source interactions. Both types of interaction take place at the branch points of the hyperelliptic surface.