Large N gauge theories -- Numerical results(5)

时间：2025-07-08 来源：未知

小中大

字号：

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.

Large N gauge theories -- Numerical results(5).doc 将本文的Word文档下载到电脑，方便复制、编辑、收藏和打印

下载这篇word文档