A study of RG flows in strong theory

RG流的强理论研究

• 批准号: 341215-2007
• 负责人: Vardarajan, Suneeta
• 金额: $ 1.46万
• 依托单位: University of Alberta
• 依托单位国家: 加拿大
• 项目类别: Subatomic Physics Envelope - Individual
• 财政年份: 2007
• 资助国家: 加拿大
• 起止时间: 2007-01-01 至 2008-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=366067
• 关键词: study; RG; flows; strong; theory

This proposal outlines a method of studying dynamical processes instring theory, which is one of the candidates for a theory ofquantum gravity. This is through the study of renormalization group (RG) flows,which are equations describing the flow of geometry of the space (inwhich the string propagates) under scale transformations on the world-sheettraced by the string. In an interesting connection between diverse areas ofmathematics and physics, the simplest of this class of equations was analyzed for entirelydifferent reasons by many mathematicians, including G. Perelman. There is enormous potential forgeneralizing Perelman's work to the various RG flows of string theory and understanding its implications for dynamical processes in quantum gravity.This is the main objective of this project - which I have already begun,by applying, along with collaborators, a part of Perelman's work to stringtheory.

本文提出了一种研究弦理论动力学过程的方法，弦理论是量子引力理论的候选理论之一。这是通过对重整化群（RG）流的研究，RG流是描述空间（弦在其中传播）在弦所追踪的世界表上的尺度变换下的几何流动的方程。在数学和物理学的不同领域之间有一个有趣的联系，这类方程中最简单的一个被包括G.佩雷尔曼在内的许多数学家出于完全不同的原因进行了分析。将佩雷尔曼的工作推广到弦理论的各种RG流并理解其对量子引力动力学过程的含义具有巨大的潜力。这是这个项目的主要目标——我已经开始了，通过与合作者一起，将佩雷尔曼的部分工作应用于弦理论。