Some physical results in four dimensional large N gauge theories on a periodic torus are summarized.

7

studyitseigenvaluedistribution.Onepossiblewaytosuppresstheperime-terdivergenceistousesmearedoperatorsonthelattice.NumericalstudiesoftheeigenvaluedistributionofthesmearedWilsonloopoperatoronthelatticeshowsclearevidenceforaphasetransitionasafunctionofthesizeoftheWilsonloop13.TheuniversalityclassisthesameastheonefoundintwodimensionallargeNQCDasshowninFig.5andthecriticalloopsizeisroughly0.6lc.Acknowledgements

R.N.wouldliketothanktheorganizersofCAQCD-06forastimulat-ingatmosphere.R.N.acknowledgespartialsupportbytheNSFundergrantnumberPHY-0300065andpartialsupportfromJe ersonLab.TheThomasJe ersonNationalAcceleratorFacility(Je ersonLab)isoperatedbytheSoutheasternUniversitiesResearchAssociation(SURA)underDOEcontractDE-AC05-84ER40150.H.N.acknowledgespartialsupportbytheDOEundergrantnumberDE-FG02-01ER41165atRutgersUniversity.References

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