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arXiv 1609.06189nucl-thhep-ph
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增强色电场中夸克和胶子的产生

Quark and Gluon Production from a Boost-invariantly Expanding Color Electric Field

Hidetoshi Taya

备注：
34 pages, 7 figures; v2: PRD version, v3: notes added on current author's affiliation
发表信息：
Phys. Rev. D 96, 014033 (2017)
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摘要：

超相对论性重离子碰撞的早期动力学激发了人们对扩展的经典色电磁场产生粒子的广泛研究。我们开发了一个形式主义在一个循环的顺序来计算粒子谱的正则量子化夸克，胶子和鬼波动的存在下，这样一个扩展的经典色背景场;正则量子化是在$τ$ - $η$坐标，以考虑到明显的扩展几何。作为示范，我们用一个具有寿命$T$的增强不变扩展的均匀色电场来模拟扩展的经典色背景场，通过非微扰求解QCD关于色电场的运动方程，解析地得到了夸克和胶子的产生谱.本文研究了（i）有限寿命效应对粒子谱的影响;（ii）夸克和胶子产生的差异;（iii）产生谱与夸克质量的关系。本文还讨论了这些结果对超相对论性重离子碰撞的意义。

英文摘要：

Particle production from an expanding classical color electromagnetic field is extensively studied, motivated by the early stage dynamics of ultra-relativistic heavy ion collisions. We develop a formalism at one-loop order to compute the particle spectra by canonically quantizing quark, gluon and ghost fluctuations under the presence of such an expanding classical color background field; the canonical quantization is done in the $τ$-$η$ coordinates in order to take into account manifestly the expanding geometry. As a demonstration, we model the expanding classical color background field by a boost-invariantly expanding homogeneous color electric field with lifetime $T$, for which we obtain analytically the quark and gluon production spectra by solving the equations of motion of QCD non-perturbatively with respect to the color electric field. In this paper we study (i) finite lifetime effect which is found to modify significantly the particle spectra from those expected from the Schwinger formula; (ii) the difference between the quark and gluon production; and (iii) the quark mass dependence of the production spectra. Implications of these results to ultra-relativistic heavy ion collisions are also discussed.

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