CFT-approach to Rotating Field Lumps in Attractive Potential

Abstract

We demonstrate the importance of relativistic corrections for the study of the stability of $(2+1)$-dimensional non-topological solitons with quartic self-interaction in the low-energy limit. This result is explained by the restoration of conformal symmetry in the non-relativistic limit. Particularly, the corresponding cubic Gross-Pitaevskii equation supports scale-free non-topological solitons. An unbroken conformal symmetry provides the additional degeneration that allows for the exact result for the energy and angular momentum of the stationary classical solutions. We study the violation of conformal symmetry by relativistic corrections. The emergence of exponentially growing modes on the classical background is demonstrated using analytical approximations and numerical calculations.

12 pages, 6 figures

References in corpus (28)

• Q-Balls and Baryogenesis in the MSSM
• Stationary ring solitons in field theory - knots and vortons
• A Review on the Scalar Field/ Bose-Einstein Condensate Dark Matter Model
• Spinning Q-Balls
• Analytic Description of Primordial Black Hole Formation from Scalar Field Fragmentation
• Stability of rotating scalar boson stars with nonlinear interactions
• Dynamics of Nontopological Solitons - Q Balls
• Q-ball Dynamics
• Phase transitions precipitated by solitosynthesis
• Review of non-topological solitons in theories with $U(1)$-symmetry
• Relativistic Corrections to Nonrelativistic Effective Field Theories
• Instability of rotating Bose stars
• Q-balls, Integrability and Duality
• Energy momentum tensor, stability, and the D-term of Q-balls
• Exact solutions, energy and charge of stable Q-balls
• Domain Walls and Flux Tubes
• From Q-walls to Q-balls
• Q-tubes and Q-crusts
• Non-topological solitons and quasi-solitons
• Unified pictures of Q-balls and Q-tubes
• Q-vortices, Q-walls and coupled Q-balls
• Investigation of Q-tubes stability using the piecewise parabolic potential
• Defects composed of kinks and Q-balls: analytical solutions and stability
• The fate of conformal symmetry in the non-linear Schrödinger theory
• The Role of Conformal Symmetry in the Jackiw-Pi Model
• Properties of Non-topological Solitons in Two-dimensional Model With Resurrected Conformal Symmetry
• 3D Vortices and rotating solitons in ultralight dark matter
• Vortices and rotating solitons in ultralight dark matter

Cited by in corpus (2)

• Towards spinning $U(1)$ gauged non-topological solitons in the model with Chern-Simons term
• Understanding the Quantized Angular Momentum of Rotating Q-balls