In this article I describe the work done with Pushan Majumdar that provided a significant push towards identifying Yang–Mills flux tubes(our works only deal with flux tubes of pure gauge theory, i.e. without dynamical quarks) as the hadronic strings of early days. The main finding was that the static potential V(R) for large \(Q\) \({{\bar{Q}}}\) separations R has the form (D is the space-time dimensionality) \(\begin{aligned} V(R)=\sigma R-\frac{(D-2)\pi }{24R}-\frac{(D-2)^2\pi ^2}{1152\sigma R^3} \cdots \end{aligned}\) for SU(3) in \(D=4\) and SU(2) in \(D=3\). Remarkably this is also the \(\tfrac{1}{R}\) expansion of the ground state energy of the bosonic string theory as given by Arvis. While that derivation is supposed to be valid only in \(D=26\), the measured potentials are for QCD which is a consistent field theory in \(D=3,4\). In subsequent works with Peter Matlock and Yashas Bharadwaj, I resolved this issue within the framework of Polchinski–Strominger effective string theories. I conclude with a brief account of recent and related works.

在这篇文章中，我描述了与 Pushan Majumdar 所做的工作，这些工作为将杨-米尔斯通量管（我们的工作仅涉及纯规范理论的通量管，即没有动力夸克）确定为早期的强子弦提供了重要的推动。主要发现是对于大\(Q\) \({{\bar{Q}}}\)间隔R的静态势V ( R )具有形式 (D 是时空维数) \(\begin {对齐} V(R)=\sigma R-\frac{(D-2)\pi }{24R}-\frac{(D-2)^2\pi ^2}{1152\sigma R^3} \ cdots \ {端对齐} \）为SU（3）\（d = 4 \）和SU（2）\（d = 3 \） 。值得注意的是，这也是 \(\tfrac{1}{R}\) Arvis 给出的玻色弦理论基态能量的扩展。虽然该推导应该仅在\(D=26\) 中有效，但测量的电位适用于 QCD，这是\(D=3,4\) 中的一致场论。在与 Peter Matlock 和 Yashas Bharadwaj 的后续工作中，我在 Polchinski-Strominger 有效弦理论的框架内解决了这个问题。最后，我简要介绍了近期和相关的工作。