Hard-Loop Effective Action for Anisotropic Plasmas

Details Hard-Loop Effective Action for Anisotropic Plasmas Hard-Loop Effective Action for Anisotropic Plasmas

2004-03-24

arxiv.org/abs/hep-ph/0403256v3

Phys.Rev. D70 (2004) 025004

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages. Version 3: typo in (15) corrected, note added discussing metric conventions used

Scientific paper

10.1103/PhysRevD.70.025004

We generalize the hard-thermal-loop effective action of the equilibrium quark-gluon plasma to a non-equilibrium system which is space-time homogeneous but for which the parton momentum distribution is anisotropic. We show that the manifestly gauge-invariant Braaten-Pisarski form of the effective action can be straightforwardly generalized and we verify that it then generates all n-point functions following from collisionless gauge-covariant transport theory for a homogeneous anisotropic plasma. On the other hand, the Taylor-Wong form of the hard-thermal-loop effective action has a more complicated generalization to the anisotropic case. Already in the simplest case of anisotropic distribution functions, it involves an additional term that is gauge invariant by itself, but nontrivial also in the static limit.

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