Exact Solution to the One-Plaquette Model of Induced QCD at Large $N$

Details Exact Solution to the One-Plaquette Model of Induced QCD at Large $N$ Exact Solution to the One-Plaquette Model of Induced QCD at Large $N$

1993-04-30

arxiv.org/abs/hep-th/9304162v1

Physics

High Energy Physics

High Energy Physics - Theory

13pp. LaTeX, no local preprint

Scientific paper

The induced lattice gauge theory with various types of inducing fields in fundamental representation of $SU(N_{c})$ is considered. In a simple case of one-plaquette lattice the model is solved in the large $N_{c}$ limit by means of loop equations. Comparison with the solution of usual QCD shows the equivalence of induced and Wilson QCD providing that a mass and a number of flavours of inducing fields are sufficiently large. The possibility to take an asymptotically free continuum limit of induced QCD is discussed.

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