CAREER: Understanding Gauge Theories Through String Theory

该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强相互作用理论QCD。要研究的主要目标是：理解弦作为描述规范不变量算子的工具从场论中出现；利用弦运动方程的可积结构将弦运动方程的新解映射到场论中；考虑以前的尖异常计算的推广，以更好地理解N=4超杨-米尔斯理论中的胶子动力学和威尔逊环；最后研究光锥规范中的场论平面图。这些领域的任何进展都有望导致对弦/规范理论对偶性的更好理解，从而达到理解低能强相互作用的最终目标。该项目建立在PI以前的经验基础上，他对该主题做出了一些贡献。更广泛的影响：这些观点是关于弦理论和粒子物理的入门讲座的一部分，为了帮助激励印第安纳州的高中生追求科学事业，PI和他的学生们准备了这个讲座。它已经在当地的高中交付，并得到了很好的接受。在未来，它将被改进和扩展到其他高中以及普渡大学的QuarkNet中心，这是一个由美国国家科学基金会和美国能源部资助的高中教师项目。这些活动的兴趣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.