Chaos and stability of NielsenOlesen vortex solution with cylindrical symmetry at critical coupling
Abstract
The chaotic properties of the NielsenOlesen vortex solution with cylindrical symmetry in the AbelianHiggs theories are numerically studied at a critical coupling constant at which the type of the interaction between vortices changes. From the stepwise behaviour of maximal Lyapunov exponents of fields it is shown that the solution exhibits chaos in the case of large perturbation, whose gross structure is similar to the ordertochaos transition observed in several topological solutions of the SU(2) YangMillsHiggs theories. It is suggested that the time evolution of the system might cause some change in the interaction between the vortices with winding number bigger than one at Bogomol'nyi limit.
 Publication:

Physics Letters B
 Pub Date:
 February 1997
 DOI:
 10.1016/S03702693(96)015377
 Bibcode:
 1997PhLB..392..433K