Bose Condensation and $Z_N$ Symmetry Breaking in the Mixed Model of Induced QCD

Details Bose Condensation and $Z_N$ Symmetry Breaking in the Mixed Model of Induced QCD Bose Condensation and $Z_N$ Symmetry Breaking in the Mixed Model of Induced QCD

1992-09-29

arxiv.org/abs/hep-lat/9209026v1

Mod.Phys.Lett. A8 (1993) 259-274

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages, Latex, no figures, PUPT-1343

Scientific paper

10.1142/S021773239300026X

The mixed model of the large $ N $ induced QCD, with $ N_f \ll N $ flavors of heavy fermions in fundamental representation, is solved in the local limit. The $ Z_N$ symmetry is broken spontaneously in the large $ N $ limit, evading the Elitzur "no-go" theorem. As a result of this symmetry breaking, there is the Bose condensate of the eigenvalues of the scalar field, proportional to $ \frac{N_f}{N} $. This condensate leads to the mass unit, which goes to zero as fractional power of $ \frac{N_f}{N} $, thus defining the new kind of the local limit of this lattice theory. There is a strong coupling region below this mass scale, which revives the hopes of induction of realistic QCD.

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