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arXiv 1912.07136hep-thhep-ph
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磁化介质中的胶子极化张量:从朗道能级求和出发的解析方法

Gluon polarization tensor in a magnetized medium: Analytic approach starting from the sum over Landau levels

Alejandro Ayala, Jorge David Castaño-Yepes, M. Loewe, Enrique Muñoz

摘要:

本文从夸克传播子的朗道能级表示出发,给出了一种计算胶子极化张量的单圈磁修正的解析方法。我们表明,一般表达式包含真空的贡献,可以从零场极限有限胶子动量隔离。胶子极化的一般张量结构也包含两个不满足横截性质的假项。然而,我们也表明,这种结构的系数消失,因此不有助于极化张量,如预期的那样。为了检查的表达式的有效性,我们研究了强,弱场的限制,并表明,以及建立的结果再现。这些发现可用于研究胶子与相对论性重离子碰撞早期产生的磁场平衡的条件。

英文摘要:

We present an analytic method to compute the one-loop magnetic correction to the gluon polarization tensor starting from the Landau-level representation of the quark propagator in the presence of an external magnetic field. We show that the general expression contains the vacuum contribution that can be isolated from the zero-field limit for finite gluon momentum. The general tensor structure for the gluon polarization also contains two spurious terms that do not satisfy the transversality properties. However, we also show that the coefficients of this structures vanish and thus do not contribute to the polarization tensor, as expected. In order to check the validity of the expressions we study the strong and weak field limits and show that well established results are reproduced. The findings can be used to study the conditions for gluons to equilibrate with the magnetic field produced during the early stages of a relativistic heavy-ion collision.

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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