Abstract
We consider the U(1) gauged two-component Friedberg-Lee-Sirlin model in 3+1 dimensional Minkowski spacetime, which supports non-topological soliton configurations. Here we found families of axially-symmetric spinning gauged Q-balls, which possess both electric and magnetic fields. The coupling to the gauge sector gives rise to a new branch of solutions, which represent the soliton configuration coupled to a circular magnetic flux. Further, in superconducting phase this branch is linked to vorton type solutions which represent a vortex encircling the soliton. We discuss properties of these solutions and investigate their domains of existence.
Highlights
For a long time much attention has been paid to the soliton solutions of various classical field theories
There are soliton configurations of another type, so called non-topological solitons that appear as global minima in the corresponding classical action, see e.g [2, 3]
The repulsive electromagnetic interaction reduces the allowed range of values of the angular frequency of the spinning gauged Q-ball, in the decoupled limit the ordinary Friedberg-Lee-Sirlin Q-balls exist for all non-zero values of scaled frequency ω ∈ [0, ωmax = 1]
Summary
For a long time much attention has been paid to the soliton solutions of various classical field theories. Solitons arise in various areas of theoretical and mathematical physics. These spatially localized field configurations are widely used in many different contexts in several directions including condensed matter physics, cosmology, classical and quantum field theories, nuclear physics and other disciplines. A remarkable class of non-topological solitons commonly referred to as Q-balls, exist in the field models possessing an unbroken, continuous global symmetry [4,5,6]. These configurations carry a Noether charge associated with this symmetry, they are time-dependent solitons with a stationary oscillating internal phase
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