QCD effective action with a most general homogeneous field background

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 H_{μν}^3 and H_{μν}^8 of color magnetic field are orthogonal to each other. The non-trivial structure of the effective action has important implication in estimating quark-gluon production rate and p_T-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.

6 pages, 3 figures (9 pages in published version)

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• Symmetry breaking, subgroup embeddings and the Weyl group
• Diagonal deformations of thin center vortices and their stability in Yang-Mills theories
• Weyl symmetric structure of QCD vacuum
• Extending SU(2) to SU(N) QCD
• Dirac Quantization of Restricted QCD
• Weyl multiplet structure of QCD
• Non-perturbative on-shell multiplet structure of SU(N) Yang-Mills fields