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arXiv 1004.2591hep-phnucl-th
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强相互作用夸克-胶子等离子体中动力学准粒子的双轻子产生

Dilepton production by dynamical quasiparticles in the strongly interacting quark gluon plasma

O. Linnyk

备注：
RevTex style, 16 pages, 16 figures
发表信息：
J.Phys.G38:025105,2011
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摘要：

讨论了强相互作用夸克胶子等离子体（sQGP）组分产生双轻子的问题。为了在较低的等离子体温度（O（T_c））、较低的双轻子质量（O（1GeV））和较强的耦合（α S =0.5-1）下进行定量预测，我们不仅考虑了高阶pQCD反应机制，而且考虑了夸克、反夸克和胶子的非微扰谱函数（离壳）和自能，从而超出了主导扭转。为此，我们的计算利用了匹配的动力学准粒子模型（DQPM）提供的夸克和胶子非微扰传播子的参数化来重现晶格数据。DQPM用单粒子格林函数描述QCD性质（在两粒子不可约方法的意义上），并导致sQGP的成分是有效准粒子的概念，这些准粒子是大质量的，具有宽谱函数（由于大的相互作用速率）。本文导出了反应q+qbar->l^+l^-中双轻子产生的离壳层截面。（Drell-Yan机理），q+qbar->g+l^+l^-（夸克湮灭与末态的胶子韧致辐射），q（qbar）+g->q（qbar）+l^+l^-通过用夸克和胶子的DQPM传播子修饰微扰图中的夸克和胶子线，得到了sQGP中g->q+qbar+l ^+l^-和q（qbar）->q（qbar）+g+l^+l^-（虚胶子衰变，虚夸克衰变）的关系.

英文摘要：

The dilepton production by the constituents of the strongly interacting quark-gluon-plasma (sQGP) is addressed. In order to make quantitative predictions at realistically low plasma temperatures (O(T_c)), experimentally relevant low dilepton mass (O(1 GeV)) and strong coupling (alphaS=0.5-1), we take into account not only the higher order pQCD reaction mechanisms, but also the non-perturbative spectral functions (off-shellness) and self-energies of the quarks, anti-quarks and gluons thus going beyond the leading twist. For this purpose, our calculations utilize parametrizations of the non-perturbative propagators for quarks and gluons provided by the dynamical quasi-particle model (DQPM) matched to reproduce lattice data. The DQPM describes QCD properties in terms of single-particle Green's functions (in the sense of a two-particle irreducible approach) and leads to the notion of the constituents of the sQGP being effective quasiparticles, which are massive and have broad spectral functions (due to large interaction rates). In the present work, we derive the off-shell cross sections of dilepton production in the reactions q+qbar->l^+l^- (Drell-Yan mechanism), q+qbar->g+l^+l^- (quark annihilation with the gluon Bremsstrahlung in the final state), q(qbar)+g->q(qbar)+l^+l^- (gluon Compton scattering), g->q+qbar+l^+l^- and q(qbar)->q(qbar)+g+l^+l^- (virtual gluon decay, virtual quark decay) in the sQGP by dressing the quark and gluon lines in the perturbative diagrams with the DQPM propagators for quarks and gluons.

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