Quantum-corrected Q-balls in the Friedberg-Lee-Sirlin model
- 1University of Science and Technology of China
- 2University of Nottingham
- 3Peng Huanwu Center for Fundamental Theory
Abstract
A bstract : We study the real-time quantum dynamics of Q-balls in the Friedberg-Lee-Sirlin model within the inhomogeneous Hartree approximation. The mean fields are evolved self-consistently with the leading quantum two-point functions, which are implemented numerically through a stochastic ensemble representation. After introducing a renormalized formulation and a classical-limit scaling, we simulate single-Q-ball configurations in 3 + 1 dimensions and compare their quantum-corrected evolution with the corresponding classical dynamics. We find a clear separation between a classical regime, where quantum fluctuations remain small and the evolution closely follows the classical solution, and a quantum regime, where the fluctuation sector carries a sizable fraction of the Noether charge. We also observe a periodic exchange of Noether charge between the mean fields and the fluctuation modes within the Hartree approximation. We further investigate the stability of quantum-corrected Q-balls and find an intermediate window in which configurations that are classically stable become unstable once Hartree fluctuations are included. Our results provide a first step toward real-time quantum simulations of Q-balls in renormalizable two-field soliton models.
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BibTeX
@article{su2026quantumcorrected,
title = {{Quantum-corrected Q-balls in the Friedberg-Lee-Sirlin model}},
author = {Yong-Xiang Su and Qi-Xin Xie and Shuang-Yong Zhou},
journal = {Journal of High Energy Physics},
year = {2026},
month = oct,
doi = {10.1007/jhep10(2026)115},
url = {https://link.springer.com/10.1007/JHEP10(2026)115},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Quantum-corrected Q-balls in the Friedberg-Lee-Sirlin model
AU - Yong-Xiang Su
AU - Qi-Xin Xie
AU - Shuang-Yong Zhou
PY - 2026
DA - 2026/10/09
JO - Journal of High Energy Physics
DO - 10.1007/jhep10(2026)115
UR - https://link.springer.com/10.1007/JHEP10(2026)115
AB - A bstract : We study the real-time quantum dynamics of Q-balls in the Friedberg-Lee-Sirlin model within the inhomogeneous Hartree approximation. The mean fields are evolved self-consistently with the leading quantum two-point functions, which are implemented numerically through a stochastic ensemble representation. After introducing a renormalized formulation and a classical-limit scaling, we simulate single-Q-ball configurations in 3 + 1 dimensions and compare their quantum-corrected evolution with the corresponding classical dynamics. We find a clear separation between a classical regime, where quantum fluctuations remain small and the evolution closely follows the classical solution, and a quantum regime, where the fluctuation sector carries a sizable fraction of the Noether charge. We also observe a periodic exchange of Noether charge between the mean fields and the fluctuation modes within the Hartree approximation. We further investigate the stability of quantum-corrected Q-balls and find an intermediate window in which configurations that are classically stable become unstable once Hartree fluctuations are included. Our results provide a first step toward real-time quantum simulations of Q-balls in renormalizable two-field soliton models.
SN - 1029-8479
ER -