QCD effective actions from the solutions of the transport equations

Details QCD effective actions from the solutions of the transport equations QCD effective actions from the solutions of the transport equations

2002-06-21

arxiv.org/abs/hep-ph/0206209v2

Phys.Rev.D67:014015,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages; Sec. VA rewritten, one appendix and one reference added

Scientific paper

10.1103/PhysRevD.67.014015

We solve the collisionless transport equations of a quark-gluon plasma interacting through mean chromodynamic fields. The system is assumed to be translation invariant in one or more space-time directions. We present exact solutions that hold if the vector gauge fields in the direction of the translation invariance commute with their covariant derivatives. We also solve the equations perturbatively when the commutation condition is relaxed. Further, we derive the color current and the associated effective action. For the static quasi-equilibrium system, our results reproduce the full one-loop effective action of QCD in the presence of constant background fields, where the above mentioned commutation condition is satisfied.

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