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2+1味NJL模型中手征夸克物质的最小长度变形

Minimal-Length Deformations of Chiral Quark Matter in a 2+1-Flavor NJL Model

Sameer Ahmad Mir

arXiv 2608.28201首次发表:更新:

AI 中文总结

在2+1味NJL模型中,构建受最小长度启发的热密手征夸克物质变形模型,揭示紫外相空间抑制对动力学手征对称性破缺及相变边界的影响,完成耦合能隙方程的自洽求解。

AI 中文摘要

本文在2+1味Nambu-Jona-Lasinio(NJL)框架内,构建了受最小长度启发的热密手征夸克物质变形模型。该变形基于完全雅可比一致的三维二次GUP代数,在保持准粒子谱不变的前提下,修改了微观相空间态密度,形成包含轻夸克与奇异夸克耦合能隙方程的热力学自洽平均场理论。分析表明,紫外相空间抑制会弱化动力学手征对称性破缺,降低轻夸克与奇异夸克的组分质量,并将轻夸克 sector 的手征相变边界(包括其交叉区域和临界点)向更低的温度与化学势移动。数值结果通过耦合能隙方程的单次自洽求解获得,明确的临界点对比显示,依赖温度与化学势的结果相互一致。该研究系统地探究了受最小长度启发的紫外变形如何重构耦合手征动力学与体夸克物质热力学。

英文摘要

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.

Comments18 pages, 8 figures, 5 tables

Journal refJ. Phys. G 53 (2026) 085105

DOI:10.1088/1361-6471/ae9ab6

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