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arXiv · 0805.3078

A Lagrangean formalism for Hermitean matrix models

R. Flume·J. Grossehelweg·A. Klitz
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Abstract

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.

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R. Flume, J. Grossehelweg, A. Klitz. 2008-05-20. A Lagrangean formalism for Hermitean matrix models. https://doi.org/10.1016/j.nuclphysb.2008.10.008

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