Abstract
The renormalization of the five- and six-dimensional scalar gauge invariant composite operators is performed. The corresponding renormalization group invariant vacuum condensates are studied. Our main results are that the six-dimensional gluon condensate does not mix with the quartic quark condensates nor the other way round. We also show that the factorization hypothesis of the four-quark operator does not lead to renormalization group invariant quark vacuum condensates. So, one has to be careful when keeping the six-dimensional operators in the QCD sum rule analysis.
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