论文标题
混合尺寸的相对论骨化超氟中的电磁波动和集体模式
Electromagnetic fluctuation and collective modes in relativistic bosonic superfluid in mixed dimensions
论文作者
论文摘要
在高斯近似中，我们研究了在零温度下三个和两个空间维度的带电相对论的玻色子超流体模型中的边缘电磁波动。电磁作用是通过普通的麦克斯韦项和这些维度中的非本地伪电动力学作用建模的。我们通过整合超氟速度字段来探索这些系统中的集体激发。在（3+1）尺寸中，我们得出了Roton模式，让人联想到在游离相对论的Bose-Einstein冷凝物的背景下发现的内容，作为HIGGS模式的概括，并确定Roton存在的必要条件。在（2+1）尺寸中，除了求解表面等离子体的分散关系外，我们证明在该模型中不能像（3+1）维度对应物一样具有类似Roton的激发，并在长波浪长度和短距离的极限和短距离中得出分散剂的渐近线。
In Gaussian approximation, we investigate the marginal electromagnetic fluctuation in models of charged relativistic bosonic superfluids in three and two spatial dimensions at zero temperature. The electromagnetism is modeled by the ordinary Maxwell term and the non-local pseudo-electrodynamics action in these dimensions respectively. We explore the collective excitations in these systems by integrating the superfluid velocity fields. In (3+1) dimensions, we derive the roton mode reminiscent of what was discovered in the context of the free relativistic Bose-Einstein condensate as a generalization of the Higgs mode and determine the necessary and sufficient condition for the roton to exist. In (2+1) dimensions, besides solving the dispersion relation for the surface plasmon, we prove there cannot be roton-like excitation in this model as opposed to its (3+1) dimensional counterpart, and additionally derive the asymptotic lines of the dispersion in the limits of long wavelength and short distance.
