标题： 关于非黎曼超导体和扭力环 显示英文标题

标题： On non-Riemannian Superconductors and torsion loops

摘要： 电磁动力学的几何化是通过将协变导数算子进行复数扩展，以包含Cartan扭矢量，并将此导数应用于超流体和超导体的Ginzburg-Landau方程来实现的。结果显示，引入扭矢会使对称性破缺真空发生偏移。扭矢环是从超导体外部的几何相位计算得出的。在超导体内，扭矢消失，这代表了扭矢几何中的Meissner效应。 一般情况下，扭矢等于London超电流。可以对所需超导体的大小设定一个限制，以对扭矢进行估计。 显示英文摘要

摘要： The geometrization of electrodynamics is obtained by performing the complex extension of the covariant derivative operator to include the Cartan torsion vector and applying this derivative to the Ginzburg-Landau equation of superfluids and Superconductors.It is shown that the introduction of torsion makes a shift in the symmetry breaking vacuum.Torsion loops are computed from geometrical phases outside the superconductor.Inside the superconductor the torsion vanishes which represents the Meissner effect for torsion geometry. Torsion in general equals the London supercurrent.It is possible to place a limit on the size of superconductor needed to give an estimate to torsion.