A Lagrangean formalism for Hermitean matrix models

Details A Lagrangean formalism for Hermitean matrix models A Lagrangean formalism for Hermitean matrix models

2008-05-20

arxiv.org/abs/0805.3078v1

Nucl.Phys.B812:322-342,2009

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 7 figures

Scientific paper

10.1016/j.nuclphysb.2008.10.008

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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