检验零温有限密度D3-D7系统中味纠缠的裸开弦度量面积
Testing bare open-string-metric areas against flavour entanglement in finite-density D3-D7
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中文总结 AI 辅助
该研究检验裸开弦度量面积能否重现D3-D7系统味纠缠熵的探针膜贡献，发现其可检测密度交叉标度但无法计算味纠缠熵。
中文摘要 AI 辅助
我们检验D7-膜开弦度量（OSM）中的裸余维二面积是否能重现零温下无质量有限密度D3-D7系统中边界纠缠熵的主导探针膜贡献。已确立的Chang-Karch-Uhlemann基准在可控探针区域内包含形状依赖的体积项；相比之下，连通带族终止于最大宽度，所选带的有限部分饱和于不连通参考值，而低面积球分支在大半径处表现为类面积而非类体积。OSM构造仍可检测密度诱导的交叉标度，其几何特征出现在极点定义的纵向响应长度的一阶倍数处。低温调节器显示，零温极限下无密度控制的视界体积项留存，因此裸OSM面积可诊断开 sector 交叉物理，但通常无法计算味纠缠熵。
英文摘要
We test whether bare codimension-two areas in the D7-brane open string metric (OSM) reproduce the leading probe-brane contribution to boundary entanglement entropy in the massless finite-density D3-D7 system at zero temperature. The established Chang-Karch-Uhlemann benchmark contains shape-dependent volume terms in a controlled probe regime. By contrast, the connected strip family terminates at a maximal width and the selected strip finite part saturates at the disconnected-reference value, while the lower-area spherical branch is area-like rather than volume-like at large radius. The OSM construction nevertheless detects the density-induced crossover scale, and its geometric landmarks occur at order-one multiples of a pole-defined longitudinal response length. A low-temperature regulator shows that no density-controlled horizon-volume term survives the zero-temperature limit. Bare OSM areas therefore diagnose open-sector crossover physics but do not, in general, compute flavour entanglement entropy.
