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arXiv 0903.1081nucl-thhep-ph
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有限介质中的高能胶子韧致辐射:谐振子与单散射近似

High-energy gluon bremsstrahlung in a finite medium: harmonic oscillator versus single scattering approximation

Peter Arnold

摘要:

在硬碰撞中产生的粒子可以通过韧致辐射损失能量。如果粒子产生于有限尺寸的QCD介质(如夸克-胶子等离子体)中,那么它对韧致辐射的影响的计算一直是人们感兴趣的问题。对于非常高能量的粒子穿过弱耦合夸克-胶子等离子体背景的情况,已知如何将该问题简化为非相对论二维量子力学中的等价问题。然而,解析解总是诉诸于进一步的近似。一种是对应的量子力学问题的谐振子近似,它适用于足够厚的介质。另一种方法是将粒子形式上视为仅具有来自等离子体的单个显著散射(称为不透明度扩展的N=1项),这适用于足够薄的介质。在广泛的中间情况下,这两个非常不同的近似给出了惊人的相似,但略有不同的结果,如果一个工作的领先对数阶的粒子能量,并已混淆的有效性范围的每一个近似。在本文中,我详细地整理了这两个近似在对数阶的有效性的参数范围。为了简单起见,我研究了小α_s和大α_s但α_s log << 1的问题。

英文摘要:

A particle produced in a hard collision can lose energy through bremsstrahlung. It has long been of interest to calculate the effect on bremsstrahlung if the particle is produced inside a finite-size QCD medium such as a quark-gluon plasma. For the case of very high-energy particles traveling through the background of a weakly-coupled quark-gluon plasma, it is known how to reduce this problem to an equivalent problem in non-relativistic two-dimensional quantum mechanics. Analytic solutions, however, have always resorted to further approximations. One is a harmonic oscillator approximation to the corresponding quantum mechanics problem, which is appropriate for sufficiently thick media. Another is to formally treat the particle as having only a single significant scattering from the plasma (known as the N=1 term of the opacity expansion), which is appropriate for sufficiently thin media. In a broad range of intermediate cases, these two very different approximations give surprisingly similar but slightly differing results if one works to leading logarithmic order in the particle energy, and there has been confusion about the range of validity of each approximation. In this paper, I sort out in detail the parametric range of validity of these two approximations at leading logarithmic order. For simplicity, I study the problem for small alpha_s and large logarithms but alpha_s log << 1.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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