Table of Contents
ISRN Mathematical Physics
Volume 2012, Article ID 601749, 16 pages
Research Article

Center-Vortex Loops with One Self-Intersection

Institut für Theoretische Physik, Universität Karlsruhe (TH), Kaiserstrasse 12, 76131 Karlsruhe, Germany

Received 7 December 2011; Accepted 1 April 2012

Academic Editors: E. Akhmedov and S. Ketov

Copyright © 2012 Julian Moosmann and Ralf Hofmann. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We investigate the 2D behavior of one-fold self-intersecting, topologically stabilized center-vortex loops in the confining phase of an SU(2) Yang-Mills theory. This coarse-graining is described by curve-shrinking evolution of center-vortex loops immersed in a flat 2D plane driving the renormalization-group flow of an effective โ€œaction.โ€ We observe that the system evolves into a highly ordered state at finite noise level, and we speculate that this feature is connected with 2D planar high ๐‘‡๐‘ superconductivity in FeAs systems.