QCD on a Tree

Abstract

A model is proposed which can be regarded as a mean field approximation for pure lattice QCD and chiral field. It always possesses a phase transition between a strong coupling phase (where it reduces to a one-plaquette integral) and a non-trivial weak coupling one. For the U(N) gauge group, it is equivalent to some multi-matrix model. This analogy allows for determining possible large N critical regimes thus generalizing the Gross-Witten phase transition in the one-plaquetee model.

16 p., NBI-HE-94-24

Cited by in corpus (3)

• Adjoint non-Abelian Coulomb gas at large N
• Exactly Soluble QCD and Confinement of Quarks
• Lattice QCD as a theory of interacting surfaces