Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-12-15
Mod.Phys.Lett. A16 (2001) 41
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, 0 figures; added references and some discussion
Scientific paper
10.1142/S0217732301002845
The spin of a glueball is usually taken as coming from the spin (and possibly the orbital angular momentum) of its constituent gluons. In light of the difficulties in accounting for the spin of the proton from its constituent quarks, the spin of glueballs is reexamined. The starting point is the fundamental QCD field angular momentum operator written in terms of the chromoelectric and chromomagnetic fields. First, we look at the restrictions placed on the structure of glueballs from the requirement that the QCD field angular momentum operator should satisfy the standard commutation relationships. This can be compared to the electromagnetic charge/monopole system, where the quantization of the field angular momentum places restrictions (i.e. the Dirac condition) on the system. Second, we look at the expectation value of this operator under some simplifying assumptions.
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