Physical Review D - Particles, Fields, Gravitation, and Cosmology
We show that the annihilation 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 βc≃0.13(6)±2: only models with βO(β)∼|β−βc|o, where O is an order parameter indicating the presence of oscillons and o=0.2(2)±2 is the critical exponent.
Gleiser, M. and Thorarinson, J., "Phase Transition in U(1) Configuration Space: Oscillons as Remnants of Vortex-Antivortex Annihilation" (2007). Open Dartmouth: Faculty Open Access Articles. 3034.