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arXiv 2402.04307hep-phhep-thnucl-th
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热磁化等离子体中的费米子自能与阻尼率

The fermion self-energy and damping rate in a hot magnetized plasma

Ritesh Ghosh, Igor A. Shovkovy

AI总结:

本文用 Landau 能级表示推导热磁化等离子体中费米子单圈自能五函数及其虚部闭式,给出能级相关阻尼率并数值研究,同时揭示自旋简并解除及其物理应用。

摘要:

我们利用 Landau 能级表示,推导了热磁化等离子体中费米子自能的一般表达式。在单圈近似下,自能的 Dirac 结构由五个不同的函数刻画,这些函数依赖于 Landau 能级指标 $n$ 和纵向动量 $p_z$。我们推导了全部五个函数的一般表达式,并得到了其虚部的闭式表达式。这些虚部接收来自三类在壳过程的贡献,这些过程可解释为 Landau 能级跃迁,并伴随单个光子(胶子)的发射或吸收。利用自能函数的虚部,我们还推导了依赖于 Landau 能级的费米子阻尼率 $\Gamma_{n}(p_z)$,并在很宽的模型参数范围内对其进行了数值研究。我们还证明,Landau 能级的二重自旋简并会被单圈自能修正解除。尽管阻尼率的自旋分裂很小,但它可能对某些自旋和手征效应具有重要意义。我们认为,该一般方法以及关于这些速率的数值结果,可在重离子物理、天体物理和宇宙学中得到有趣的应用;在这些领域中,强磁化的 QED 或 QCD 等离子体普遍存在。

英文摘要:

We derive a general expression for the fermion self-energy in a hot magnetized plasma by using the Landau-level representation. In the one-loop approximation, the Dirac structure of the self-energy is characterized by five different functions that depend on the Landau-level index $n$ and the longitudinal momentum $p_z$. We derive general expressions for all five functions and obtain closed-form expressions for their imaginary parts. The latter receive contributions from three types of on-shell processes, which are interpreted in terms of Landau-level transitions, accompanied by a single photon (gluon) emission or absorption. By making use of the imaginary parts of the self-energy functions, we also derive the Landau-level dependent fermion damping rates $Γ_{n}(p_z)$ and study them numerically in a wide range of model parameters. We also demonstrate that the two-spin degeneracy of the Landau levels is lifted by the one-loop self-energy corrections. While the spin splitting of the damping rates is small, it may be important for some spin and chiral effects. We argue that the general method and the numerical results for the rates can have interesting applications in heavy-ion physics, astrophysics, and cosmology, where strongly magnetized QED or QCD plasmas are ubiquitous.

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