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Functional Renormalization Group Methods in Quantum Gravity

量子引力中的函数重整化群方法

基本信息

批准号：
106106861
负责人：
Privatdozent Dr. Frank Saueressig
金额：
--
依托单位：
Theoretical High Energy Physics (THEF)
依托单位国家：
德国
项目类别：
Independent Junior Research Groups
财政年份：
2009
资助国家：
德国
起止时间：
2008-12-31 至 2014-12-31
项目状态：
已结题

来源：
https://gepris.dfg.de/gepris/projekt/106106861?language=en
关键词：
Functional Renormalization Group Methods Quantum

项目摘要

One of the major challenges in theoretical high energy physics is the construction of a fundamental theory of gravity valid at all distance scales. While such a description is yet unknown, it is expected to provide answers to central questions such as the tiny value of the cosmological constant or the origin of dark matter. This proposal will spearhead the exploration of a promising candidate theory for Quantum Gravity, Weinberg’s asymptotic safety scenario. Here the key idea is that gravity is a consistent and predictive quantum theory at the nonperturbative level. The primary tools for investigating this scenario analytically are functional renormalization group equations, which provide an important window on the non-perturbative properties of the theory. So far these have yielded substantial evidence for asymptotic safety without yet being conclusive. Thus our proposal will develop new techniques for studying the non-perturbative renormalization group flow of pure gravity, gravity-matter, and supergravity theories. These will be used to implement several acid tests for asymptotic safety and study its phenomenological consequences for the physics of the early universe, black holes, cosmology and supersymmetry. Moreover, connecting hitherto unrelated candidate theories of Quantum Gravity, our work will boost the understanding of several open conceptual points in this research area.

理论高能物理的主要挑战之一是建立适用于所有距离尺度的引力基本理论。虽然这样的描述还不为人所知，但预计它将为一些核心问题提供答案，比如宇宙常数的微小价值或暗物质的起源。这一提议将带头探索量子引力的一个有前途的候选理论，即温伯格的渐近安全假设。这里的关键思想是，引力是一个在非微扰水平上一致的、可预测的量子理论。解析地研究这种情形的主要工具是泛函重整化群方程，它为研究该理论的非微扰性质提供了一个重要的窗口。到目前为止，这些都为渐近安全性提供了实质性的证据，但尚未形成定论。因此，我们的提议将为研究纯重力、重力物质和超引力理论的非微扰重整化群流发展新的技术。这些将被用来实施几个渐近安全的酸性测试，并研究其对早期宇宙、黑洞、宇宙学和超对称性物理的现象学后果。此外，我们的工作将结合迄今为止无关的量子引力候选理论，促进对这一研究领域中几个开放概念的理解。