Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-12-23
Physics
High Energy Physics
High Energy Physics - Lattice
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.
Chen Yin
Liu Daqing
Liu Yubin
Wu Ji-Min
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