Independent Operators at Different Dimension

Abstract

To apply lattice QCD in the calculation of glueball spectrum it is needed firstly to know associated operators acting on vacuum. We show how to find all the independent representations and operators, of group SO(3)PC at different dimension, since the work is not trivial. Then, we decompose these representation into irreducible representation of OPC group, which are listed in the note. At last we argue that fJ(2220) and gT states can not be tensor glueball simultaneously.

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