Large N gauge theories -- Numerical results(2)
发布时间：2021-06-06
Some physical results in four dimensional large N gauge theories on a periodic torus are summarized.
2
symmetryisbroken.Thecontinuumlimitisobtainedbygoingtothetop-rightcornerofFig.1anddi erentapproachestothiscornerwillresultinoneofthe vecontinuumphases.
The0h-phasepresentforb<0.36forallLisanunphysicalphasethatdoesnotsurvivethecontinuumlimit.The0hto0ctransitionisassoci-atedwiththesingleplaquetteoperatoropeningupagaparoundπinitseigenvaluedistribution.Gauge eldscomeindisconnectedpiecesinalltheXc-phasesduetothepresenceofthegapinthesingleplaquetteoperator5.
The0c-phaseisthecon nedphaseoflargeNQCDandthe1c-phaseisthedecon nedphaseandlc=1/tc.Animmediateconsequenceofcon-tinuumreductionisthatlargeNQCDdoesnotfeeltemperaturesbelowtc6.Numericalanalysishasshownthatlatticespacinge ectsaresmallinthe0c-phaseanditissu cienttoworkatL～9andN～30toextractcontinuumresults.Therefore,numericalcomputationscanbeperformedonaserialcomputerandaclusterofcomputerscanbee cientlyusedtogeneratestatisticsinaMonte-Carlocalculation.
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