Abstract
We consider one-loop effective action of SU(3) QCD with a most general constant chromomagnetic (chromoelectric) background which has two independent Abelian field components. The effective potential with a pure magnetic background has a local minimum only when two Abelian components [Formula: see text] and [Formula: see text] of color magnetic field are orthogonal to each other. The nontrivial structure of the effective action has important implication in estimating quark–gluon production rate and pT-distribution in quark–gluon plasma. In general the production rate depends on three independent Casimir invariants, in particular, it depends on the relative orientation between chromoelectric fields.
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