Particlelike solutions of the Einstein-Dirac-Higgs equations: ground, excited, and many-fermion states
Abstract
We present an extended study of the gravitationally localized soliton-like solutions to the minimally-coupled Einstein-Dirac-Higgs equations, embedded in asymptotically Minkowski spacetimes. The equations of motion describing these Yukawa-coupled Dirac stars are generalized to any even number of constituent fermions. We first expand the discussion of two-fermion ground-state solutions initially analyzed in Leith et al. [Phys. Rev. D. 107, 106020 (2023)]. Upon extending our analysis to excited states and many-fermion states, we find that both exhibit different behaviors to their two-fermion ground-state counterparts. In these excited states and many-fermion states, the Higgs field may exhibit stepwise increases and at times decrease within the soliton, which has not been seen for the two-fermion ground states. We also propose the potential cause of a significant degree of ADM-to-fermion mass disparity, which is present in states with strong Yukawa-coupling.
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BibTeX
@misc{kusano2026particlelike,
title = {{Particlelike solutions of the Einstein-Dirac-Higgs equations: ground, excited, and many-fermion states}},
author = {Reinosuke Kusano and Keith Horne and Peter E. D. Leith and Miguel Yulo Asuncion and Chris A. Hooley},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.13061},
eprint = {2609.13061},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.13061},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Particlelike solutions of the Einstein-Dirac-Higgs equations: ground, excited, and many-fermion states
AU - Reinosuke Kusano
AU - Keith Horne
AU - Peter E. D. Leith
AU - Miguel Yulo Asuncion
AU - Chris A. Hooley
PY - 2026
DA - 2026/09/11
PB - arXiv
DO - 10.48550/arxiv.2609.13061
UR - https://arxiv.org/abs/2609.13061
AB - We present an extended study of the gravitationally localized soliton-like solutions to the minimally-coupled Einstein-Dirac-Higgs equations, embedded in asymptotically Minkowski spacetimes. The equations of motion describing these Yukawa-coupled Dirac stars are generalized to any even number of constituent fermions. We first expand the discussion of two-fermion ground-state solutions initially analyzed in Leith et al. [Phys. Rev. D. 107, 106020 (2023)]. Upon extending our analysis to excited states and many-fermion states, we find that both exhibit different behaviors to their two-fermion ground-state counterparts. In these excited states and many-fermion states, the Higgs field may exhibit stepwise increases and at times decrease within the soliton, which has not been seen for the two-fermion ground states. We also propose the potential cause of a significant degree of ADM-to-fermion mass disparity, which is present in states with strong Yukawa-coupling.
ER -