发表机构
Universidade Federal do ABC（ABC联邦大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究κ-闵可夫斯基时空中弯曲动量空间和有限朗道谱，通过德西特几何获κ-庞加莱卡西米尔作动力学约束，用于研究恒定磁场中粒子，得到精确能谱，发现动量空间曲率致有限朗道谱，费米子情况截断与自旋有关，还讨论了紫外截断影响。
AI 中文摘要
从动量空间的德西特几何中获得κ-庞加莱卡西米尔，并将其用作泊松规范理论框架内控制带电粒子的动力学约束。所得形式主义用于研究恒定磁场中的标量和自旋-1/2粒子。获得了精确的能谱，包括变形参数1/κ的所有阶次。动量空间的曲率意味着最大不变动量，进而导致以最高朗道能级（HLL）存在为特征的有限朗道谱。在费米子情况下，截断变得与自旋有关，导致极化的HLL。简要讨论了这种紫外截断的可能影响及其与反常相关现象的关系。
英文摘要
We derive the $κ$-Poincaré Casimir from the de Sitter geometry of momentum space and employ it as the dynamical constraint governing charged particles within the framework of Poisson gauge theory. The resulting formalism is applied to scalar and spin-$1/2$ particles in a constant magnetic field. Within the semiclassical Poisson-gauge framework, exact energy spectra are obtained without expanding in the deformation parameter $1/κ$. On the positive-energy branch in bicrossproduct momentum coordinates, identifying these coordinates with the physical momenta entering the gauge coupling imposes an upper bound on their spatial magnitude. This bound leads to a finite number of admissible Landau-level indices and hence to a Highest Landau Level (HLL). In the fermionic case, the truncation is spin dependent for the factorization adopted here, resulting in a polarized HLL. Possible implications of this ultraviolet truncation and the limitations of the framework are briefly discussed.
CommentsPublished version, 11 pages, 1 figure
Journal refPhys. Lett. B 881 (2026) 140956
DOI：10.1016/j.physletb.2026.140956
