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爱因斯坦-麦克斯韦求和规则与光滑膜不可能定理的持续性

Einstein--Maxwell Sum Rules and the Persistence of the Smooth-Brane No-Go Theorem

Paulo Michel Longo Tavares da Silva

arXiv 2610.05798首次发表:更新:

发表机构

Faculty of Technology of Botucatu(博图卡图技术学院)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

研究最小耦合麦克斯韦场能否规避GKL光滑膜不可能定理,发现标准假设下电磁项无法提供一致规避,对称背景中麦克斯韦场消失,光滑膜阻碍持续存在。

AI 中文摘要

我们研究了最小耦合的阿贝尔麦克斯韦扇区能否缓解吉本斯-卡洛什-林德(GKL)对光滑五维翘曲膜世界的阻碍。对于与体麦克斯韦场耦合的典型标量场,我们在保持切向F_{{\mu}{\nu}}和混合F_{{\mu}5}扇区分离的同时,导出了单参数族的全局一致性条件。这种分解至关重要,因为麦克斯韦应力张量在五维中并非无迹的。我们表明,电磁项形式上修改了积分的GKL约束,但这种修改在标准假设下并未提供对不可能定理的一致规避。精确的四维庞加莱不变性排除了背景中非零确定性经典麦克斯韦场的存在,因为其场强会选择特定的四维方向。因此,麦克斯韦扇区在对称背景中消失,通常的光滑膜阻碍得以恢复。我们还确定了必须放宽哪些假设才能产生非平凡的电磁贡献,并将这一背景结果与体规范场局域化的局部一致性条件区分开来。

英文摘要

We investigate whether a minimally coupled Abelian Maxwell sector can relax the Gibbons--Kallosh--Linde (GKL) obstruction to smooth five-dimensional warped braneworlds. For a canonical scalar field coupled to a bulk Maxwell field, we derive the one-parameter family of global consistency conditions while keeping the tangential F_{μν} and mixed F_{μ5} sectors separate. This decomposition is essential because the Maxwell stress tensor is not traceless in five dimensions. We show that electromagnetic terms formally modify the integrated GKL constraints, but this modification does not provide a consistent evasion of the no-go theorem under the standard assumptions. Exact four-dimensional Poincaré invariance excludes a nonzero deterministic classical Maxwell field from the background, since its field strength would select preferred four-dimensional directions. The Maxwell sector therefore vanishes in the symmetric background and the usual smooth-brane obstruction is recovered. We also identify which assumptions must be relaxed for a nontrivial electromagnetic contribution and distinguish this background result from local consistency conditions for bulk gauge-field localization.

论文原文

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