From hermitian matrix model to lattice gauge theory
Abstract
I consider a lattice model of a gauge field interacting with matrixvalued scalars in $D$ dimensions. The model includes an adjustable parameter $\s$, which plays role of the string tension. In the limit $\s=\infty$ the model coincides with KazakovMigdal's ``induced QCD", where Wilson loops obey a zero area law. The limit $\s=0$, where Wilson loops $W(C)=1$ independently of the size of the loop, corresponds to the Hermitian matrix model. For $D=2$ and $D=3$ I show that the model obeys the same combinatorics as the standard LGT and therefore one may expect the area law behavior. In the strong coupling expansion such a behavior is demonstrated.
 Publication:

arXiv eprints
 Pub Date:
 September 1992
 arXiv:
 arXiv:hepth/9209097
 Bibcode:
 1992hep.th....9097R
 Keywords:

 High Energy Physics  Lattice;
 High Energy Physics  Theory
 EPrint:
 8pages, Latex