Large N gauge theories -- Numerical results(5)
发布时间：2021-06-06
Some physical results in four dimensional large N gauge theories on a periodic torus are summarized.
5
curveasshownin g.3andfπlc=
12Λπ
≈0.269.
5.Chiralsymmetryrestoration
The0cto1cphasetransitionisthecon nement-decon nementphasetransitionsincetheU(1)symmetryassociatedwithoneofthePolyakovloopsisbroken.Thistransitionis rstordersincethereisalatentheatas-sociatedwiththesingleplaquette11.Thefermiondeterminantdoesmatterinthe1c-phaseanditpicksthecorrectboundaryconditionsforfermionsinthebrokendirection,namely,anti-periodicwithrespecttothePolyakovloop12.ThelowesteigenvalueoftheDiracoperatorwiththecorrectbound-aryconditionscanbeusedtostudythegapinthe1c-phaseandone ndsthatchiralsymmetryisrestoredinthe1c-phase12.Furthermore,thechiraltransitionis rstorderasshowninFig.4.Ifoneweretosuper-coolthe1c-phaseintothe0c-phase,asecondordertransitionwithasquarerootsingularitywouldbeobservedat0.93/lc.
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