Problem with classical stability of U(1) gauged Q-balls

Abstract

In this paper, we present a detailed study of the problem of classical stability of U(1) gauged Q-balls. In particular, we show that the standard methods that are suitable for establishing the classical stability criterion for ordinary (nongauged) one-field and two-field Q-balls are not effective in the case of U(1) gauged Q-balls, although all the technical steps of calculations can be performed in the same way as those for ordinary Q-balls. We also present the results of numerical simulations in models with different scalar field potentials, explicitly demonstrating that, in general, the regions of stability of U(1) gauged Q-balls are not defined in the same way as in the case of ordinary Q-balls. Consequently, the classical stability criterion for ordinary Q-balls cannot be applied to U(1) gauged Q-balls in the general case.

29 pages, 7 figures, LaTeX. v3: title changed, typos corrected, minor changes in the text

References in corpus (5)

• Compact Q-balls and Q-shells in a scalar electrodynamics
• Charged Q-balls and boson stars and dynamics of charged test particles
• Q-balls with scalar charges
• Q-holes
• Towards the correspondence between Q-clouds and sphalerons

Cited by in corpus (5)

• Radially excited $U\left(1\right)$ gauged $Q$-balls
• $U(1)$ gauged boson stars in the Einstein-Friedberg-Lee-Sirlin model
• Q-ball stress stability criterion in the $U(1)$ gauged scalar theories
• The role of the massless phantom term in the stability of a non-topological soliton solution
• Q-balls in Non-Minimally Coupled Palatini Inflation and their Implications for Cosmology