Minimal-Length Deformations of Chiral Quark Matter in a 2+1-Flavor NJL Model
Abstract
In this paper, a minimal-length inspired deformation of hot and dense chiral quark matter is formulated within a 2+1-flavor Nambu-Jona-Lasinio framework. The deformation is based on a complete Jacobi-consistent three-dimensional quadratic GUP algebra and modifies the microscopic phase-space density of states while leaving the quasiparticle spectrum unchanged, leading to a thermodynamically closed mean-field theory with coupled light and strange gap equations. The analysis shows that ultraviolet phase-space suppression weakens dynamical chiral symmetry breaking, lowers the light and strange constituent masses, and shifts the light-sector chiral transition boundary, including its crossover and critical endpoint toward lower temperature and chemical potential. The numerical results are obtained from a single self-consistent solution of the coupled gap equations, and explicit endpoint comparisons show that the temperature-dependent and chemical-potential dependent results are mutually consistent. The result is a systematic effective-model study of how minimal-length inspired ultraviolet deformations reorganize coupled chiral dynamics and bulk quark-matter thermodynamics.
Versions
Related
- Chiral Vortical Transport under Minimal-Length Deformations in Rotating Relativistic Matter
- Chiral magnetic wave and axial charge relaxation in flavor branes
- Dynamical chiral symmetry breaking in rotating QED3: critical flavor number and the occupation-reweighting channel
- Minimal superfluid vortices in chiral perturbation theory
- Minimal spontaneous baryogenesis from flavor
BibTeX
@misc{mir2026minimallength,
title = {{Minimal-Length Deformations of Chiral Quark Matter in a 2+1-Flavor NJL Model}},
author = {Sameer Ahmad Mir},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.28201},
eprint = {2608.28201},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28201},
}
RIS
TY - UNPB
TI - Minimal-Length Deformations of Chiral Quark Matter in a 2+1-Flavor NJL Model
AU - Sameer Ahmad Mir
PY - 2026
DA - 2026/08/28
PB - arXiv
DO - 10.48550/arxiv.2608.28201
UR - https://arxiv.org/abs/2608.28201
AB - In this paper, a minimal-length inspired deformation of hot and dense chiral quark matter is formulated within a 2+1-flavor Nambu-Jona-Lasinio framework. The deformation is based on a complete Jacobi-consistent three-dimensional quadratic GUP algebra and modifies the microscopic phase-space density of states while leaving the quasiparticle spectrum unchanged, leading to a thermodynamically closed mean-field theory with coupled light and strange gap equations. The analysis shows that ultraviolet phase-space suppression weakens dynamical chiral symmetry breaking, lowers the light and strange constituent masses, and shifts the light-sector chiral transition boundary, including its crossover and critical endpoint toward lower temperature and chemical potential. The numerical results are obtained from a single self-consistent solution of the coupled gap equations, and explicit endpoint comparisons show that the temperature-dependent and chemical-potential dependent results are mutually consistent. The result is a systematic effective-model study of how minimal-length inspired ultraviolet deformations reorganize coupled chiral dynamics and bulk quark-matter thermodynamics.
ER -