CAREER: Understanding Gauge Theories Through String Theory

这个项目的长期目标是通过使用弦理论来提高对规范理论的理解，并将这些知识应用于QCD，强相互作用理论。实现主要调查目标的步骤如下：理解作为描述规范不变算子的工具的场论中弦的出现，使用它们的可积结构将弦运动方程的新解映射到场论，考虑以前的尖点异常计算的推广，以更好地理解N=4超杨-米尔斯理论以及光锥规范场论平面图的研究。在这些领域的任何进展，预计将导致更好地理解弦/规范理论的对偶性，导致理解在低能量的强相互作用的最终目标。该项目建立在PI之前的经验基础上，PI对该主题做出了一些贡献。更广泛的影响：这些想法是关于弦理论和粒子物理学的介绍性讲座的一部分，PI和他的学生准备了这些讲座，以帮助激励印第安纳州的高中生追求科学事业。它已在当地高中交付，接受度很好。在未来，它将得到改进和扩展，以在其他高中以及普渡大学的QuarkNet中心提供，这是一个NSF和DOE赞助的高中教师计划。对这些活动的兴趣的评估将由高中教师自己完成，并由PI收集。

The long term objective of this project is to improve the understanding of gauge theories by using string theory and to apply such knowledge to QCD, the theory of strong interactions. Steps to the main goal to be investigated are: understanding the emergence of strings from a field theory as a tool for describing gauge invariant operators, mappping new solutions of the string equations of motion to the field theory using their integrable structure, consideration of generalizations of previous cusp anomaly calculations to better understand gluon dynamics and Wilson loops in N=4 super Yang-Mills theory and finally the study of field theory planar diagrams in light-cone gauge. Progress in any of these areas is expected to lead to a better understanding of the string /gauge theory duality leading to the final goal of understanding the strong interaction at low energy. The project builds on previous experience of the PI who has made several contributions to the subject. Broader Impact: These ideas are part of an introductory lecture on string theory and particle physics that the PI and his students prepared in order to help motivate Indiana's high school students to pursue a career in science. It has been delivered in local high schools with good acceptance. In the future it will be improved and extended to be delivered in other high schools as well as the QuarkNet Center at Purdue, which is an NSF and DOE sponsored program for high-school teachers. Evaluation of the interest of such activities will be done by the High School teachers themselves and collected by the PI.