Some physical results in four dimensional large N gauge theories on a periodic torus are summarized.
4
4.PionsinlargeNQCD
SincechiralsymmetryisbrokeninlargeNQCDevenin nitevolume,oneshouldbeabletoobservemasslesspionsin nitevolume.Thisresultemergesinthefollowingmanner9.Propertiesofasinglequarkinaback-groundgauge eldAµ(x)cannotdependonashiftofAµ(x)→Aµ(x)+p
µ
otherseesAµ(x)→Aµ(x)
pµ
2l
andthe