发表机构
Canadian Quantum Research Center; Asian School of Business, Noida; Damghan University; Khazar University; Princess Nourah bint Abdulrahman University; Aristotle University of Thessaloniki; Peoples’ Friendship University of Russia (RUDN University)（加拿大量子研究中心; 诺伊达亚洲商学院; 达姆甘大学; 阿塞拜疆哈萨克斯坦大学; 公主努拉·宾特·阿卜杜勒拉赫曼大学; 萨洛尼卡亚里士多德大学; 俄罗斯人民友谊大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究最小长度形变对手征涡旋效应的影响，发现各向同性态密度修正不改变领头反常相关响应，但通过高阶热和化学势贡献改变涡旋输运，且正最小长度参数减小电导率。
AI 中文摘要
我们研究了最小长度如何影响手征涡旋效应，在该效应中，旋转在手征费米子构成的物质中产生电流。我们关注动量空间态密度的各向同性修正，并从电流与动量密度之间的静态、长波长关联来确定涡旋电导率。该分析首先针对单个右手Weyl费米子进行，然后推广到具有相互对易守恒荷的一般无质量手征费米子系统。我们发现，对于一大类解析各向同性态密度修正，化学势和温度的常见领头贡献在态密度扇区内的一阶保持不变。相反，最小长度效应通过高阶热和化学势贡献显现。其中一些修正包含与规范反常和混合规范-引力反常中出现的相同手征荷组合，而另一些则包含独立的高阶荷组合。它们的系数依赖于态密度修正的形式，因此不由通常的四维反常结构固定。对于Kempf-Mangano-Mann形变，精确结果表明，正的最小长度参数总是减小态密度对涡旋电导率的贡献。我们还发现，在标准重离子化学冻出条件下，普朗克抑制的修正极其微小。这些结果表明，各向同性最小长度修正可以改变手征涡旋输运的高阶贡献，同时在此处考虑的态密度扇区内，常见的领头反常相关响应保持不变。
英文摘要
We study how a minimal length can affect the chiral vortical effect, in which rotation produces a current in matter made of chiral fermions. We focus on an isotropic modification of the momentum-space density-of-state (DoS) and determine the vortical conductivity from the static, long-wavelength correlation between the current and momentum density. The analysis is carried out first for a single right-handed Weyl fermion and is then extended to general massless chiral fermion systems with mutually commuting conserved charges. We find that, for a broad class of analytic isotropic DoS modifications, the familiar leading contributions from chemical potential and temperature remain unchanged at first order within the DoS sector. Minimal-length effects instead appear through higher-order thermal and chemical-potential contributions. Some of these corrections contain the same chiral charge combinations that appear in gauge and mixed gauge-gravitational anomalies, while another contains an independent higher-order charge combination. Their coefficients depend on the form of the DoS modification and are therefore not fixed by the usual four-dimensional anomaly structure. For the Kempf-Mangano-Mann deformation, the exact result shows that a positive minimal-length parameter always reduces the DoS contribution to the vortical conductivity. We also find that a Planck-suppressed correction is extremely small under standard heavy-ion chemical freeze-out conditions. These results show that isotropic minimal-length modifications can change higher-order contributions to chiral vortical transport while leaving the familiar leading anomaly-related response unchanged within the DoS sector considered here.
Comments19 pages, 4 figures
Journal refEur.Phys.J.Plus 141 (2026) 9, 1104
DOI：10.1140/epjp/s13360-026-08321-0
