Phase transition in U(1) configuration space: Oscillons as remnants of vortex-antivortex annihilation

2007/01/31 by Marcelo Gleiser, Joel Thorarinson · 3 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics #astro-ph #cond-mat.supr-con #hep-th

paper · pdf · doi:10.1103/physrevd.76.041701

published as Phys.Rev.D76:041701,2007 · 4 pages, 5 figures, LaTeX

arxiv created 2007/01/31 · openalex publication_date 2007/08/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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, \ensuremathβ=(m_s/m_v)² and can be described as a phase transition in field configuration space with critical value \ensuremathβ_c\ensuremath≃0.13(6)\ifmmode±\else\textpm\fi2: only models with \ensuremathβ<\ensuremathβ_c lead to oscillonlike remnants. The critical behavior of the system obeys a power law O(\ensuremathβ)\ensuremath∼|\ensuremathβ\ensuremath-\ensuremathβ_c|^o, where O is an order parameter indicating the presence of oscillons and o=0.2(2)\ifmmode±\else\textpm\fi2 is the critical exponent.

Citations

• Topology of cosmic domains and strings

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