English

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

High Energy Physics - Theory 2007-05-23 v1

Abstract

The induced lattice gauge theory with various types of inducing fields in fundamental representation of SU(Nc)SU(N_{c}) is considered. In a simple case of one-plaquette lattice the model is solved in the large NcN_{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.

Keywords

Cite

@article{arxiv.hep-th/9304162,
  title  = {Exact Solution to the One-Plaquette Model of Induced QCD at Large $N$},
  author = {K. Zarembo},
  journal= {arXiv preprint arXiv:hep-th/9304162},
  year   = {2007}
}

Comments

13pp. LaTeX, no local preprint