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.