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

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.

4 pages, 5 figures, LaTeX

References in corpus (4)

• Oscillons and Quasi-breathers in the ϕ^4 Klein-Gordon model
• An Electroweak Oscillon
• Numerical Investigations of Oscillons in 2 Dimensions
• Simulations of Cold Electroweak Baryogenesis: Dependence on Higgs mass and strength of CP-violation

Cited by in corpus (26)

• Inflaton Fragmentation and Oscillon Formation in Three Dimensions
• Information Content of Spontaneous Symmetry Breaking
• Small amplitude quasi-breathers and oscillons
• Emergence of Oscillons in an Expanding Background
• Generation of Coherent Structures After Cosmic Inflation
• Analytical Characterization of Oscillon Energy and Lifetime
• Oscillons and Domain Walls
• Flux tubes and the type-I/type-II transition in a superconductor coupled to a superfluid
• Compact oscillons in the signum-Gordon model
• Numerical Simulation of an Electroweak Oscillon
• Long-Lived Time-Dependent Remnants During Cosmological Symmetry Breaking: From Inflation to the Electroweak Scale
• Creating kinks from particles
• Inflaton fragmentation: Emergence of pseudo-stable inflaton lumps (oscillons) after inflation
• Bubbling the False Vacuum Away
• A Class of Nonperturbative Configurations in Abelian-Higgs Models: Complexity from Dynamical Symmetry Breaking
• Numerical investigation of highly excited magnetic monopoles in SU(2) Yang-Mills-Higgs theory
• Oscillons in dilaton-scalar theories
• Non-topological solitons and quasi-solitons
• A review on radiation of oscillons and oscillatons
• Kink-Antikink Formation from an Oscillation Mode by Sudden Distortion of the Evolution Potential
• Understanding oscillons: standing waves in a ball
• Symmetric solitonic excitations of the (1+1)-dimensional Abelian-Higgs "classical vacuum"
• Fractal boundary basins in spherically symmetric ${\varphi }^4$ theory
• Internal Excitations of Global Vortices
• Massive Dirac states bound to vortices by a boson-fermion interaction
• Boson stars and oscillatons in an inflationary universe