The Kaon B-parameter with the Wilson Quark Action using Chiral Ward Identities


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We present a detailed description of the method and results of our calculation of the kaon B parameter using the Wilson quark action in quenched QCD at $beta=5.9-6.5$. The mixing problem of the $Delta s=2$ four-quark operators is solved non-perturbatively with full use of chiral Ward identities. We find $B_K(NDR, 2 GeV)=0.562(64)$ in the continuum limit, which agrees with the value obtained with the Kogut-Susskind quark action.

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