Gauged Q ball in a piecewise parabolic potential
Mathematical Physics
2016-09-07 v1 General Relativity and Quantum Cosmology
math.MP
Abstract
Q ball solutions are considered within the theory of a complex scalar field with a gauged U(1) symmetry and a parabolic-type potential. In the thin-walled limit, we show explicitly that there is a maximum size for these objects because of the repulsive Coulomb force. The size of Q ball will increase with the decrease of local minimum of the potential. And when the two minima degenerate, the energy stored within the surface of the Q ball becomes significant. Furthermore, we find an analytic expression for gauged Q ball, which is beyond the conventional thin-walled limit.
Cite
@article{arxiv.math-ph/0205003,
title = {Gauged Q ball in a piecewise parabolic potential},
author = {Xin-zhou Li and Jian-gang Hao and Dao-jun Liu and Guang Chen},
journal= {arXiv preprint arXiv:math-ph/0205003},
year = {2016}
}
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