%0 Journal Article %T The evolution equations for regularized Dirac-geodesics %A Volker Branding %J Mathematics %D 2013 %I arXiv %R 10.1016/j.geomphys.2015.11.001 %X We study the evolution equations for a regularized version of Dirac-geodesics, which are the one-dimensional version of Dirac-harmonic maps. We show that for the regularization being sufficiently large, the evolution equations subconverge to a regularized Dirac-geodesic. In the end, we discuss the limiting process of removing the regularization. %U http://arxiv.org/abs/1311.3581v1