耦合4D-2D量子场论中非阿贝尔涡旋的存在性
Existence of non-Abelian vortices in a coupled 4D-2D quantum field theory
AI总结：
本文利用变分法研究$\mathbb{R}^{2}$中含指数项的非线性椭圆方程组，证明了耦合4D-2D量子场论中规范非阿贝尔涡旋解的存在性与唯一性，并得出解在无穷远处的渐近行为及量子化积分。
摘要：
涡旋产生局部集中的场构型，是复杂结构非线性偏微分方程组的解。本文利用变分法，通过研究$\mathbb{R}^{2}$中含指数项的非线性椭圆方程组，证明了耦合4D-2D量子场论中规范非阿贝尔涡旋解的存在性与唯一性。此外，还得出解在无穷远处的渐近行为及$\mathbb{R}^{2}$中的量子化积分。
英文摘要：
Vortices produce locally concentrated field configurations and are solutions to the nonlinear partial differential equations systems of complicated structures. In this paper, we establish the existence and uniqueness for solutions of the gauged non-Abelian vortices in a coupled 4D-2D quantum field theory by researching the nonlinear elliptic equations systems with exponential terms in $\mathbb{R}^{2}$ using the calculus of variations. In addition, we obtain the asymptotic behavior of the solutions at infinity and the quantized integrals in $\mathbb{R}^{2}$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
