Covariant formulation of gluon self-energy in presence of ellipsoidal anisotropy

Ritesh Ghosh; Bithika Karmakar; Arghya Mukherjee

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Covariant formulation of gluon self-energy in presence of ellipsoidal anisotropy

机译：在椭球各向异性存在下，Gluon自我能量的协调性配方

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In this work, a covariant formulation of the gluon self-energy in presence of ellipsoidal anisotropy is considered. It is shown that the general structure of the gluon self-energy can be written in terms of six linearly independent projection tensors. Similar to the spheroidal anisotropy, mass scales can be introduced for each of the collective modes considering the static limits. With a simplified ellipsoidal generalization of the Romatschke-Strickland form, the angular dependencies of the mass scales are studied. It is observed that, compared to the spheroidal case, additional unstable mode may appear in presence of ellipsoidal anisotropy depending upon the choice of the parameters.

机译：在这项工作中，考虑了在存在椭球各向异性存在下的胶合性自我能量的协调性配方。结果表明，胶合自能的一般结构可以根据六个线性独立的投影张量来编写。类似于球形各向异性，考虑到静态限制，可以为每个集体模式引入质量尺度。利用Romatschke-Strickland形式的简化椭圆概括，研究了质量尺度的角度依赖性。观察到，与球壳相比，根据参数的选择，可以在存在椭圆形各向异性存在下出现额外的不稳定模式。

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《Physical review, D》 |2020年第11期|共9页
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Ritesh Ghosh; Bithika Karmakar; Arghya Mukherjee;
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Covariant formulation of gluon self-energy in presence of ellipsoidal anisotropy

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