Formation and Charge Relaxation of Julia-Zee Dyons in Classical Lattice Simulations
Abstract
We demonstrate the formation and subsequent evolution of Julia--Zee dyons in (3+1)-dimensional classical lattice simulations of an SU(2)→U(1) symmetry-breaking model in an expanding background. The gauge and Higgs fields are prepared thermally, subjected to an ultraviolet filter, and evolved through a mass quench and subsequent expansion. Classical dyons can carry continuous electric charge, and we find charge magnitudes exceeding four times the electric charge unit g. Their measured electric-charge magnitudes tend to decrease during the subsequent evolution, consistent with charge exchange with the surrounding fields. At late times, the magnetic monopoles persist while the number of dyons and their observed charge range decrease, with only a few identified dyons remaining at the end of the simulations.
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BibTeX
@misc{yamada2026formation,
title = {{Formation and Charge Relaxation of Julia-Zee Dyons in Classical Lattice Simulations}},
author = {Masaki Yamada},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.36023},
eprint = {2610.36023},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.36023},
}
RIS
TY - UNPB
TI - Formation and Charge Relaxation of Julia-Zee Dyons in Classical Lattice Simulations
AU - Masaki Yamada
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2610.36023
UR - https://arxiv.org/abs/2610.36023
AB - We demonstrate the formation and subsequent evolution of Julia--Zee dyons in (3+1)-dimensional classical lattice simulations of an SU(2)→U(1) symmetry-breaking model in an expanding background. The gauge and Higgs fields are prepared thermally, subjected to an ultraviolet filter, and evolved through a mass quench and subsequent expansion. Classical dyons can carry continuous electric charge, and we find charge magnitudes exceeding four times the electric charge unit g. Their measured electric-charge magnitudes tend to decrease during the subsequent evolution, consistent with charge exchange with the surrounding fields. At late times, the magnetic monopoles persist while the number of dyons and their observed charge range decrease, with only a few identified dyons remaining at the end of the simulations.
ER -