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A Phase Transition in U(1) Configuration Space: Oscillons as Remnants of Vortex-Antivortex Annihilation
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abstract
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, $\beta=(m_s/m_v)^2$ and can be described as a phase transition in field configuration space with critical value $\beta_c\simeq 0.13(6)\pm 2 $: only models with $\beta<\beta_c$ lead to oscillon-like remnants. The critical behavior of the system obeys a power law $O(\beta)\sim |\beta-\beta_c|^o$, where $O$ is an order parameter indicating the presence of oscillons and $o = 0.2(2)\pm 2 $ is the critical exponent.
Forward citations
Cited by 3 Pith papers
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Resonance phenomena in vortex-antivortex collisions
Vortex–antivortex collisions in the deep type-II Abelian-Higgs model show multi-bounce windows embedded in annihilation regions, driven by a Feshbach resonant mode.
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Unified theory of oscillons and modes
Oscillons are reinterpreted as localized resonant modes from threshold or antibound modes via nonlinearity, with wobblerons as new kink-oscillon bound states.
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Oscillons and bubbles in $Q$-ball dynamics
In the thin-wall regime, Q-ball-anti-Q-ball collisions are chaotic, driven by internal bound modes and ephemeral states, with false-vacuum bubbles stabilized by Goldstone modes as key intermediates.
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