发表机构
State University of New York at Buffalo（纽约州立大学布法罗分校）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究虫洞喉部有限宽度涡旋与扭结耦合产生的标量晕，推导其混合应力与锥形匹配条件，并指出受限锥在外部重叠区的维持受限于额外源贡献。
AI 中文摘要
我们研究了与虫洞喉部附近沿弦变化的锥形亏缺相关的静态物质约束。一个正的标量依赖因子乘以完整的阿贝尔-希格斯拉格朗日量，将有限宽度涡旋与典型扭结耦合。在临界耦合下，我们得到了主要的纵向变化涡旋张力。平直扭结涨落算符具有一个偶宇称平移模和一个质量为$\sqrt{3}/L_\chi$的奇宇称形状模。反射对称性将平移模从主要源响应中排除。我们在纵向端部采用非零穿弦边界条件来表述响应，并推导出有限范围的横向晕。在重叠区域$w\ll\rho\ll L_\chi$中，其混合应力满足$2\pi C\\,\delta T^{\chi\\,\rho}{}_l=\partial_l\mu_v^{(0)}$至领头阶，其中$2\pi C$是方位角周长。结合局部弱引力亏缺关系，这提供了受限变化锥的主要混合爱因斯坦约束。在固定纵向位置处，源产生的晕反而在超过$L_\chi$后衰减。因此，除非另一个源贡献缺失的混合应力，否则它无法在整个外部重叠区域维持该受限锥。这种阻碍取决于支撑虫洞扇区的响应，并非一般轴对称度量的无结果定理。有限宽度计算检验了线性响应交叉。我们指定了微扰域，并解释了为何旋转扩展需要独立求解高斯定律。我们未声称得到完整的反作用虫洞解或稳定性结果。
英文摘要
We study the static matter constraint associated with a conical deficit that varies along a string near a wormhole throat. A positive scalar-dependent factor multiplying the complete Abelian-Higgs Lagrangian couples a finite-width vortex to a canonical kink. At critical coupling, we obtain the leading longitudinally varying vortex tension. The flat-kink fluctuation operator has an even translational mode and an odd shape mode of mass $\sqrt{3}/L_χ$. Reflection symmetry excludes the translational mode from the leading sourced response. We formulate the response with nonzero dressed-string boundary conditions at the longitudinal ends and derive a finite-range transverse halo. In the overlap $w\llρ\ll L_χ$, its mixed stress satisfies $2πC\,δT^{χ\,ρ}{}_l=\partial_lμ_v^{(0)}$ to leading order, where $2πC$ is the azimuthal circumference. Together with the local weak-gravity deficit relation, this supplies the leading mixed Einstein constraint of a restricted varying cone. At fixed longitudinal position the sourced halo instead decays beyond $L_χ$. Consequently, it cannot sustain that restricted cone throughout an outer overlap unless another source contributes the missing mixed stress. This obstruction is conditional on the response of the wormhole-supporting sector and is not a no-go result for general axisymmetric metrics. A finite-width calculation checks the linear-response crossover. We specify the perturbative domain and explain why a rotating extension requires an independent solution of Gauss's law. No complete backreacted wormhole solution or stability result is claimed.
CommentsWithdrawn due to a crucial error in the proofs/arguments
