The color-flavor transformation and a new approach to quantum chaotic maps

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The color-flavor transformation is a mathematical result that has applications to problems as diverse as lattice gauge theory, random network models, and dynamical systems. Several variants are described, and an outline of the proof is given. It is then shown how to use the transformation to set up a field theoretic formalism for quantum chaotic maps.
LaTeX2e, 6 pages, contribution to the proceedings of the XIIth International Congress of Mathematical Physics (Brisbane, July 1997)

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