Vacuum P e r i o d i c i t y i n t h e I n s t a n t o n Angle, C h i r a l P e r t u r b a t i o n Theory, and F r a c t i o n a l Topological Charge The Ohio S t a t e U n i v e r s i t y Columbus, Ohio 43210 not nezwwnv mnnrtun or Implv It6 andormment, rsmmrmxbtion, w fawire by the Unlred Steter GoMrnmmt w any *no/ twreaf. me view and opinions of suthrwr a p r d h w n do mt ---Abstract Following Crewther, t h e methods of c h i r a l p e r t u r b a t i o n theory and Dashen's theorem a r e

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... p p l i e d t o t h e QCD quark mass matrix. Stable. domains o f &vacua a r e found. The period of t h e system w i t h r e s p e c t t o t h e i n s t a n t o n angle i s 2n. It i s concluded t h a t non-integer topological charge i s n o t r e q u i r e d by c h l r a l symmetry breakingd An argument t o the c o n t r a r y by t h e p r e s e n t a u t h o r s and by Crewther i s refuted.