(adsbygoogle = window.adsbygoogle || []).push({}); [URGENT]How to prove gluon has this quantum number assignment?

From PDG booklet, for gluon, I^G(J^{PC}) = 0(1^-).

My questions are:

1. How to prove its P=-1?

2. Why C parity and therefore G parity are not well-defined for a gluon?

Is it because gluon have nothing to do with electromagnetic interaction so it do not have well-defined properties associated with (electric) charge conjugation transformation?

3. I=0 can be understood that gluon must be flavor singlet and have no charm, no strangeness, no bottomness and no topness. Right?

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# How to prove gluon has this quantum number assignment?

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