发表机构
Sampoerna University; Universitas Indonesia（三宝垄大学; 印度尼西亚大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文构造了Kruglov非线性电动力学中阿贝尔规范-希格斯涡旋的Bogomol'nyi方程，通过本构映射分析确定可解条件，并给出六个代表性参数的闭式解，BPS弦张力纯拓扑且与参数无关。
AI 中文摘要
我们构造了阿贝尔规范-希格斯涡旋的Bogomol'nyi方程，其中麦克斯韦规范扇区被Kruglov非线性电动力学所取代，后者是一个幂律族，在麦克斯韦理论、Born-Infeld电动力学和指数电动力学之间插值，其特征在于无量纲指数$\sigma$。利用无应力方法，我们直接从空间应力张量的消失推导出一对一阶方程，而不预先假设希格斯势。对于一般的$\sigma$，规范扇区和希格斯扇区通过一个隐式代数关系耦合。因此，我们引入一个本构映射$\Phi(Y;\sigma)$，并分析其单调性和值域，以确定光滑可容许Bogomol'nyi分支的条件。对于$\sigma>1/2$，本构映射是严格单调且无界的，而对于$0<\sigma<1/2$，它具有有限最大值；边缘情形$\sigma=1/2$是有界的。这些性质为后两种情况提供了非线性参数$\beta$的显式界限。我们进一步获得了六个代表性$\sigma$值的闭式本构关系、BPS势和规范场方程，涵盖线性、二次和三次代数结构。然后数值计算了相应的涡旋轮廓。所得的BPS弦张力是纯拓扑的，$\mu_{\rm BPS}=2\pi n$，与$\sigma$和$\beta$均无关。
英文摘要
We construct the Bogomol'nyi equations for Abelian gauge--Higgs vortices in which the Maxwell gauge sector is replaced by Kruglov nonlinear electrodynamics, a power-law family that interpolates between Maxwell theory, Born--Infeld electrodynamics, and exponential electrodynamics, characterized by a dimensionless exponent $σ$. Using the stressless method, we derive a pair of first-order equations directly from the vanishing of the spatial stress tensor, without assuming the Higgs potential \textit{a priori}. For generic $σ$, the gauge and Higgs sectors are coupled through an implicit algebraic relation. We therefore introduce a constitutive map $Φ(Y;σ)$ and analyze its monotonicity and range to determine the conditions for a smooth admissible Bogomol'nyi branch. For $σ>1/2$, the constitutive map is strictly monotonic and unbounded, whereas for $0<σ<1/2$ it possesses a finite maximum; the marginal case $σ=1/2$ is bounded. These properties yield explicit bounds on the nonlinear parameter $β$ for the latter cases. We further obtain closed-form constitutive relations, BPS potentials, and gauge-field equations for six representative values of $σ$, spanning linear, quadratic, and cubic algebraic structures. The corresponding vortex profiles are then computed numerically. The resulting BPS string tension is purely topological, $μ_{\rm BPS}=2πn$, independent of both $σ$ and $β$.
Comments11 pages, 5 figures
