A Phase Transition in U(1) Configuration Space: Oscillons as Remnants of Vortex-Antivortex Annihilation

Marcelo Gleiser, Joel Thorarinson

Submitted on 31 January 2007


We show that the low-momentum scattering of vortex-antivortex pairs can lead to very long-lived oscillon states in 2d Abelian Higgs models. The emergence of oscillons is controlled by the ratio of scalar and vector field masses, β=(ms/mv)2 and can be described as a phase transition in field configuration space with critical value βc0.13(6)±2: only models with β<βc lead to oscillon-like remnants. The critical behavior of the system obeys a power law O(β)|ββc|o, where O is an order parameter indicating the presence of oscillons and o=0.2(2)±2 is the critical exponent.


Comment: 4 pages, 5 figures, LaTeX

Subjects: High Energy Physics - Theory; Astrophysics; Condensed Matter - Superconductivity