Large N limit of SO(N) scalar gauge theory

Details Large N limit of SO(N) scalar gauge theory Large N limit of SO(N) scalar gauge theory

2002-01-24

arxiv.org/abs/hep-th/0201193v1

J.Math.Phys. 43 (2002) 1340-1352

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, no figures

Scientific paper

In this paper we study the large $N_c$ limit of SO(N_c) gauge theory coupled
to a real scalar field following ideas of Rajeev. We see that the phase space
of this resulting classical theory is Sp_1(H)/U(H_+) which is the analog of the
Siegel disc in infinite dimensions. The linearized equations of motion give us
a version of the well-known 't Hooft equation of two dimensional QCD.

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