Large N gauge theories -- Numerical results(3)
发布时间：2021-06-06
Some physical results in four dimensional large N gauge theories on a periodic torus are summarized.
3
tticecoupling.
3.Chiralsymmetrybreakingin nitevolume
Sincephysicsdoesnotdependontheboxsizein0c-phase,oneshouldshowthatchiralsymmetryisspontaneouslybrokenin nitevolumeinordertoproperlyreproducephysicsinthisphase7.Theorderoflimitsareimpor-tantandonehastotakethelargeNlimitbeforetakingthequarkmasstozeroat nitephsyicalvolume.ThelowlyingspectrumofthemasslessDiracoperatorshowsevidenceforspontaneouschiralbreakingsincetheeigenval-ues,iλ,scaleslikez=λΣNl4withzobeyingauniversaldistribution.Thechiralcondesate,Σ,isindependentofl.ResultsofacalculationofthechiralcondensateonthelatticeisshowninFig.2.Resultsfromchiralrandommatrixtheory8wereusedtoextractthechiralcondensateata xedN,Landlatticecoupling.Twolowestnon-zeroeigenvaluesintheQ=0andQ=1topologicalsectorswereusedtoshowconsistency.TheplotshowsthatthereisalimitasN→∞andthislimitisindependentofL.Results
obtainedatdi erentlatticecouplingsyieldl3
c
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