AI 中文总结
研究三维超对称伽利略杨-米尔斯（SGYM）的量子动力学，发现其仅在库仑支有微扰激发，经典标度对称性因单圈对数发散破缺，纳入边际形变后渐近自由，该理论流向强耦合非相对论M2-膜理论。
AI 中文摘要
我们研究超对称伽利略杨-米尔斯（SGYM）的量子动力学，重点关注具有经典标度对称性的三维情形。该理论被认为是IIA型非相对论弦论中描述D2-膜的世界体积理论，源于最大超对称（相对论）杨-米尔斯的非相对论极限。与相对论情形不同，我们发现SGYM仅在库仑支上存在微扰动力学激发。我们证明，三维情形下经典标度对称性因对数发散在单圈水平被打破，这些发散无法在不引入额外边际形变的情况下被正则化，且我们提供证据表明，一旦纳入这些形变，该理论是渐近自由的。具体而言，我们的分析表明三维SGYM会流向强耦合非相对论M2-膜理论。
英文摘要
We study the quantum dynamics of supersymmetric Galilean Yang-Mills (SGYM), with a focus on three dimensions where there is a classical scale symmetry. This is believed to be the worldvolume theory describing D2-branes within type IIA non-relativistic string theory and arises as a non-relativistic limit of maximally supersymmetric (relativistic) Yang-Mills. Unlike the relativistic case, we find that SGYM only admits perturbative dynamical excitations on the Coulomb branch. We show that in three dimensions the classical scale symmetry is broken at one-loop due to logarithmic divergences. These cannot be regulated without introducing additional marginal deformations, and we present evidence that the theory is asymptotically free once these are included. In particular our analysis suggests that three-dimensional SGYM flows to a strongly coupled non-relativistic M2-brane theory.
Comments54 pages, 1 figure
