中等密度强磁化夸克物质中德拜和迈斯纳屏蔽的缺失
Lack of Debye and Meissner screening in strongly magnetized quark matter at intermediate densities
摘要：
我们研究了强磁场存在下中重子密度区（以化学势$μ$为特征）冷夸克物质的静态响应。我们认为，特别是所谓的磁双手征密度波（MDCDW）相，这是由一个不均匀的凝聚体形成的粒子-空穴对物化。结果表明，MDCDW相是更稳定的弱耦合制度比在手征对称性制动现象（MC $χ$ SB）的磁催化，甚至比手征对称相，预计将实现在足够高的重子化学势。在单圈近似下计算了MDCDW相位的光子偏振算符的不同分量。在最低朗道近似下，发现在MDCDW相中没有德拜屏蔽和迈斯纳效应。所得到的德拜长度依赖于非均匀凝聚体的振幅$m$和调制$b$，只有当关系式$| μ-b| > m$成立时，德拜长度才不等于零。但是，我们发现，在感兴趣的区域，这个不等式是不满足的。因此，在这些条件下不发生德拜屏蔽。另一方面，由于粒子-空穴凝聚体是电中性的，U（1）电磁群不会被基态破坏，因此不存在迈斯纳效应。这些结果对中子星的天体物理研究具有重要意义。
英文摘要：
We study the static responses of cold quark matter in the intermediate baryonic density region (characterized by a chemical potential $μ$) in the presence of a strong magnetic field. We consider in particular, the so-called Magnetic Dual Chiral Density Wave (MDCDW) phase, which is materialized by an inhomogeneous condensate formed by a particle-hole pair. It is shown, that the MDCDW phase is more stable in the weak-coupling regime than the one considered in the magnetic catalysis of chiral symmetry braking phenomenon (MC$χ$SB) and even than the chiral symmetric phase that was expected to be realized at sufficiently high baryonic chemical potential. The different components of the photon polarization operator of the MDCDW phase in the one-loop approximation are calculated. We found that in the MDCDW phase there is no Debye screening neither Meissner effect in the lowest-Landau-level approximation. The obtained Debye length depends on the amplitude $m$ and modulation $b$ of the inhomogeneous condensate and it is only different from zero if the relation $| μ-b| > m$ holds. But, we found that in the region of interest this inequality is not satisfied. Thus, no Debye screening takes place under those conditions. On the other hand, since the particle-hole condensate is electrically neutral, the U(1) electromagnetic group is not broken by the ground state and consequently there is no Meissner effect. These results can be of interest for the astrophysics of neutron stars.
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