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

Abstract

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.

9 pages, 2 figures

References in corpus (8)

• Recent results in relativistic heavy ion collisions: from ``a new state of matter'' to "the perfect fluid"
• Instabilities of an anisotropically expanding non-Abelian plasma: 1D+3V discretized hard-loop simulations
• Momentum Broadening in an Anisotropic Plasma
• Non-abelian plasma instabilities for strong anisotropy
• Non-Abelian Plasma Instabilities for Extreme Anisotropy
• Jet quenching and broadening: the transport coefficient $\hat{q}$ in an anisotropic plasma
• The fermion mass at next-to-leading order in the HTL effective theory
• The soft fermion dispersion relation at next-to-leading order in hot QED

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• On the imaginary part of the next-to-leading-order static gluon self-energy in an anisotropic plasma
• Hard loop effective theory of the (anisotropic) quark gluon plasma
• Spin alignment of Quarkonia: A Possible Probe of Deconfined QCD matter in Pb+Pb Collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV