Magnetically induced QCD Kondo effect
Magnetically induced QCD Kondo effect
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DOI：
10.1103/physrevd.94.074013
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发表时间：
2015-09
影响因子：
5
通讯作者：
S. Ozaki;K. Itakura;Y. Kuramoto
中科院分区：
文献类型：
--
作者：
S. Ozaki;K. Itakura;Y. Kuramoto
“QCD近藤效应”源于具有非阿贝尔性质的QCD中的颜色交换相互作用，可以在含有重夸克杂质的高密度夸克物质中实现。我们提出了一种新型强磁场诱导的QCD近藤效应。除了磁场不影响颜色自由度外，强磁场中朗道量子化引起的两个性质对于“磁致QCD近藤效应”是必不可少的；(1)降维到1+1维；(2)最低能量夸克的态密度有限。我们证明，在强磁场$B$中，无质量夸克对重夸克杂质的散射振幅确实表现出近藤效应的特征。由此得出的Kondo尺度估计为$\Lambda_{\rm K} \simeq \sqrt{e_qB}\ \alpha_{s}^{1/3} {\rm{exp}}\{-{4}\pi/N_{c} \alpha_{s} {\rm{log}}( 4 \pi/\alpha_{s}) \}$，其中$\alpha_{s}$和$N_c$是强相互作用的精细结构常数和QCD中的颜色数，$e_q$是轻夸克的电荷。
The "QCD Kondo effect" stems from the color exchange interaction in QCD with non-Abelian property, and can be realized in a high-density quark matter containing heavy-quark impurities. We propose a novel type of the QCD Kondo effect induced by a strong magnetic field. In addition to the fact that the magnetic field does not affect the color degrees of freedom, two properties caused by the Landau quantization in a strong magnetic field are essential for the "magnetically induced QCD Kondo effect"; (1) dimensional reduction to 1+1-dimensions, and (2) finiteness of the density of states for lowest energy quarks. We demonstrate that, in a strong magnetic field $B$, the scattering amplitude of a massless quark off a heavy quark impurity indeed shows a characteristic behavior of the Kondo effect. The resulting Kondo scale is estimated as $\Lambda_{\rm K} \simeq \sqrt{e_qB}\ \alpha_{s}^{1/3} {\rm{exp}}\{-{4}\pi/N_{c} \alpha_{s} {\rm{log}}( 4 \pi/\alpha_{s}) \}$ where $\alpha_{s}$ and $N_c$ are the fine structure constant of strong interaction and the number of colors in QCD, and $e_q$ is the electric charge of light quarks.