Forgács Péter, Reuillon Sébastien, Volkov Mikhail S
Laboratoire de Mathématiques et Physique Théorique CNRS-UMR 6083, Université de Tours Parc de Grandmont, 37200 Tours, France.
Phys Rev Lett. 2006 Feb 3;96(4):041601. doi: 10.1103/PhysRevLett.96.041601. Epub 2006 Feb 2.
It is shown that the SU(2) semilocal model--the Abelian Higgs model with two complex scalars--admits a new class of stationary, straight string solutions carrying a persistent current and having finite energy per unit length. In the plane orthogonal to their direction they correspond to a nontrivial deformation of the embedded Abrikosov-Nielsen-Olesen (ANO) vortices by the current flowing through them. The new solutions bifurcate with the ANO vortices in the limit of vanishing current. They can be either static or stationary. In the stationary case, the relative phase of the two scalars rotates at constant velocity, giving rise to an electric field and angular momentum, while the energy remains finite. The new static vortex solutions have lower energy than the ANO vortices and could be of considerable importance in various physical systems (from condensed matter to cosmic strings).
结果表明，SU(2)半局部模型——具有两个复标量的阿贝尔希格斯模型——允许一类新的静止直弦解，这些解携带持续电流且每单位长度具有有限能量。在与它们方向正交的平面中，它们对应于通过它们流动的电流对嵌入的阿布里科索夫 - 尼尔森 - 奥尔斯en（ANO）涡旋的非平凡变形。在电流消失的极限情况下，新解与ANO涡旋分岔。它们可以是静态的或静止的。在静止情况下，两个标量的相对相位以恒定速度旋转，产生电场和角动量，而能量保持有限。新的静态涡旋解比ANO涡旋具有更低的能量，并且在各种物理系统（从凝聚态物质到宇宙弦）中可能具有相当重要的意义。
