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Chiral symmetry and curvature bounds in de Sitter spacetime
Abstract
We study chiral symmetry breaking in the Nambu-Jona-Lasinio model on a de Sitter background, treating it as a non-renormalizable effective field theory with a physical ultraviolet cutoff. Using exponential proper-time regularization, we obtain an exact solution for the constituent fermion mass in the strong-curvature regime via the Lambert W function. The consistency condition for real-valued solutions leads to an upper bound on the cosmological constant, indicating a limitation of the mean-field description rather than a fundamental physical constraint on the spacetime geometry.
Versions
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BibTeX
@misc{barbosa2026chiral,
title = {{Chiral symmetry and curvature bounds in de Sitter spacetime}},
author = {L. G. Barbosa},
howpublished = {arXiv},
year = {2026},
month = jul,
doi = {10.48550/arxiv.2607.28975},
eprint = {2607.28975},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.28975},
}
RIS
TY - UNPB
TI - Chiral symmetry and curvature bounds in de Sitter spacetime
AU - L. G. Barbosa
PY - 2026
DA - 2026/07/31
PB - arXiv
DO - 10.48550/arxiv.2607.28975
UR - https://arxiv.org/abs/2607.28975
AB - We study chiral symmetry breaking in the Nambu-Jona-Lasinio model on a de Sitter background, treating it as a non-renormalizable effective field theory with a physical ultraviolet cutoff. Using exponential proper-time regularization, we obtain an exact solution for the constituent fermion mass in the strong-curvature regime via the Lambert W function. The consistency condition for real-valued solutions leads to an upper bound on the cosmological constant, indicating a limitation of the mean-field description rather than a fundamental physical constraint on the spacetime geometry.
ER -