Next-to-leading order static gluon self-energy for anisotropic plasmas

Details Next-to-leading order static gluon self-energy for anisotropic plasmas Next-to-leading order static gluon self-energy for anisotropic plasmas

2008-10-27

arxiv.org/abs/0810.4799v1

Phys.Rev.D79:025018,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 2 figures

Scientific paper

10.1103/PhysRevD.79.025018

In this paper the structure of the next-to-leading (NLO) static gluon self energy for an anisotropic plasma is investigated in the limit of a small momentum space anisotropy. Using the Ward identities for the static hard-loop (HL) gluon polarization tensor and the (nontrivial) static HL vertices, we derive a comparatively compact form for the complete NLO correction to the structure function containing the space-like pole associated with magnetic instabilities. On the basis of a calculation without HL vertices, it has been conjectured that the imaginary part of this structure function is nonzero, rendering the space-like poles integrable. We show that there are both positive and negative contributions when HL vertices are included, highlighting the necessity of a complete numerical evaluation, for which the present work provides the basis.

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