标题： ${T\overline{T}}$类似于杨-米尔斯理论的流 显示英文标题

标题： ${T\overline{T}}$-like Flows of Yang-Mills Theories

摘要： 我们研究${T\overline{T}}$类似于$d>2$的 Yang-Mills 理论的变形。 标准的${T\overline{T}}$流导致多迹 Lagrangians，而非阿贝尔规范结构使得找到闭合形式的 Lagrangians 变得具有挑战性。 然而，在对${T\overline{T}}$的几何方法中，我们得到了度量流和应力-能量张量的闭合形式解，并表明瞬子解未被变形。 我们还引入了新的对称单迹${T\overline{T}}$类似变形，其在$d=4$中的解包括 Tseytlin 在 1997 年提出的非阿贝尔 Born-Infeld Lagrangian。 显示英文摘要

摘要： We study ${T\overline{T}}$-like deformations of $d>2$ Yang-Mills theories. The standard ${T\overline{T}}$ flows lead to multi-trace Lagrangians, and the non-Abelian gauge structures make it challenging to find Lagrangians in a closed form. However, within the geometric approach to ${T\overline{T}}$, we obtain the closed-form solution to the metric flow and stress-energy tensor, and show that instanton solutions are undeformed. We also introduce new symmetrised single-trace ${T\overline{T}}$-like deformations, whose solutions in $d=4$ include the non-Abelian Born-Infeld Lagrangian proposed by Tseytlin in 1997.