Notes on Collective Field Theory of Large N Vector Models as Classical Mechanics on the Siegel Disc

Details Notes on Collective Field Theory of Large N Vector Models as Classical Mechanics on the Siegel Disc Notes on Collective Field Theory of Large N Vector Models as Classical Mechanics on the Siegel Disc

2004-11-15

arxiv.org/abs/hep-th/0411146v1

Physics

High Energy Physics

High Energy Physics - Theory

14 Pages

Scientific paper

We use deformation quantization to construct the large N limits of Bosonic
vector models as classical dynamical systems on the Siegel disc and study the
relation of this formulation to standard results of collective field theory.
Special emphasis is paid to relating the collective potential of the large N
theory to a particular cocycle of the symplectic group.

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