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Independent Operators at Different Dimension

Yin Chen·Daqing Liu·Yubin Liu·Jimin Wu
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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 $O^{PC}$ 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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Yin Chen, Daqing Liu, Yubin Liu, Jimin Wu. 2005-12-23. Independent Operators at Different Dimension. https://arxiv.org/abs/hep-lat/0512033

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