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

@article{Panin2017ProblemWC, title={Problem with classical stability of U(1) gauged Q-balls}, author={Alexander Panin and Mikhail N. Smolyakov}, journal={Physical Review D}, year={2017}, volume={95}, pages={065006} }

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…

## 19 Citations

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## References

SHOWING 1-10 OF 31 REFERENCES

### Some properties ofU(1)gaugedQ-balls

- Physics
- 2015

In this paper we examine the properties of $U(1)$ gauged Q-balls in two models with different scalar field potentials. The obtained results demonstrate that in the general case $U(1)$ gauged Q-balls…

### Q-BALLS WITH SCALAR CHARGE

- Physics, Mathematics
- 2011

We consider Friedberg–Lee–Sirlin Q-balls in a (3+1)-dimensional model with vanishing scalar potential of one of the fields. We show that, unlike in (2+1) and (1+1) dimensions, the Q-ball is…

### Quantum mechanics: Non-relativistic theory,

- Physics
- 1958

The basic concepts of quantum mechanics Energy and momentum Schrodinger's equation Angular momentum Perturbation theory Spin The identity of particles The atom The theory of symmetry Polyatomic…

### Phys

- Rev. D 13
- 1976

### Phys

- Rev. D 92
- 2015

### Phys

- Rev. D 14
- 1976

### Phys

- 11
- 1970

### Mech

- Tech. Phys. 14
- 1973

### Radiophys

- Quantum Electron. 16
- 1973