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

Source: [Exact Solution to the One-Plaquette Model of Induced QCD at Large $N$](<https://www.sota2.com/research/paper/68fa1f4e7a2b558e293289db>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T17:50:26.499Z

Authors: K. Zarembo

Published: 1993-04-30T19:25:07.000Z

## Abstract

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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-th/9304162>)

[PDF](<https://arxiv.org/pdf/hep-th/9304162.pdf>)