Magnetic field and curvature effects on pair production. II. Vectors and implications for chromodynamics
Magnetic field and curvature effects on pair production. II. Vectors and implications for chromodynamics
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DOI：
10.1103/physrevd.100.065006
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发表时间：
2019-05
影响因子：
5
通讯作者：
D. Karabali;S. Kürkçüoǧlu;V. Nair
中科院分区：
文献类型：
--
作者：
D. Karabali;S. Kürkçüoǧlu;V. Nair
我们计算 $M \times {\mathbb R}^{1,1}$ 形式的空间上自旋 $1$ 或矢量粒子的对生产率，其中 $M$ 对应于 ${\mathbb R}^2$（平坦）、$S^2$（正曲率）和 $H^2$（负曲率），$M$ 上有或没有背景（色度）磁场。除了强调曲率和背景磁场的影响之外，这还特别有趣，因为已知矢量粒子会遭受尼尔森-奥尔森不稳定性的影响，这会显着提高粒子对的产生率。获得了 $S^2$ 和 $H^2$ 的这种不稳定性的形式。我们还简要讨论了我们的结果如何与非阿贝尔理论中的限制思想相关。
We calculate the pair production rates for spin-$1$ or vector particles on spaces of the form $M \times {\mathbb R}^{1,1}$ with $M$ corresponding to ${\mathbb R}^2$ (flat), $S^2$ (positive curvature) and $H^2$ (negative curvature), with and without a background (chromo)magnetic field on $M$. Beyond highlighting the effects of curvature and background magnetic field, this is particularly interesting since vector particles are known to suffer from the Nielsen-Olesen instability, which can dramatically increase pair production rates. The form of this instability for $S^2$ and $H^2$ is obtained. We also give a brief discussion of how our results relate to ideas about confinement in nonabelian theories.