Soliton solution of a gravitating chiral quark soliton model: dynamical fermion and Dirac-sea in general relativity
Abstract
In this paper, we study Einstein-Dirac system based on a Dirac fermion coupled with a nonlinear chiral field on static spherically symmetric spacetime. Gravitational effects on the dynamical mass of fermions are examined. The chiral quark soliton model (CQSM) originally was a model of hadron inspired by the low-energy regime of large-Nc QCD, realizing localized fermions with the full inclusion of the Dirac-sea, which is derived from a regularized one-fermion loop. We extend the CQSM in spherically symmetric curved spacetime and coupled with the Einstein gravity. We successfully solve the CQSM and the Einstein equation self-consistently, and obtain the spectral flow of the fermion energies and also of the ADM mass. The Dirac-sea dilutes the effect of the energy-momentum tensor, which induces an inactive point for the impact of gravity even when the localizing matter exists. The Dirac-sea effect becomes dominant for larger dynamical mass M∼ ⟨ψ̅ψ⟩, leading to the emergence of the negative ADM mass.
Related
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- A Strong Cosmologically Coupled Mass Growth Solution in Linearized General Relativity
- Dynamical analysis and closed-form soliton solutions for the doubly dispersive equation
BibTeX
@misc{mizutani2026soliton,
title = {{Soliton solution of a gravitating chiral quark soliton model: dynamical fermion and Dirac-sea in general relativity}},
author = {Ryoma Mizutani and Daiki Niiyama and Nobuyuki Sawado},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.24159},
eprint = {2609.24159},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.24159},
}
RIS
TY - UNPB
TI - Soliton solution of a gravitating chiral quark soliton model: dynamical fermion and Dirac-sea in general relativity
AU - Ryoma Mizutani
AU - Daiki Niiyama
AU - Nobuyuki Sawado
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2609.24159
UR - https://arxiv.org/abs/2609.24159
AB - In this paper, we study Einstein-Dirac system based on a Dirac fermion coupled with a nonlinear chiral field on static spherically symmetric spacetime. Gravitational effects on the dynamical mass of fermions are examined. The chiral quark soliton model (CQSM) originally was a model of hadron inspired by the low-energy regime of large-N_c QCD, realizing localized fermions with the full inclusion of the Dirac-sea, which is derived from a regularized one-fermion loop. We extend the CQSM in spherically symmetric curved spacetime and coupled with the Einstein gravity. We successfully solve the CQSM and the Einstein equation self-consistently, and obtain the spectral flow of the fermion energies and also of the ADM mass. The Dirac-sea dilutes the effect of the energy-momentum tensor, which induces an inactive point for the impact of gravity even when the localizing matter exists. The Dirac-sea effect becomes dominant for larger dynamical mass M∼ ⟨ψ̅ψ⟩, leading to the emergence of the negative ADM mass.
ER -