Independent Operators at Different Dimension

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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8 pages

Scientific paper

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 $O^{PC}$ group, which are listed in the note. At last we argue that $f_J(2220)$ and $g_T$ states can not be tensor glueball simultaneously.

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