arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1003.4134hep-thgr-qc
收藏

由矩阵模型导出的几何与引力

Emergent Geometry and Gravity from Matrix Models: an Introduction

Harold Steinacker

摘要:

介绍了杨-米尔斯矩阵模型中突现非对易引力的研究进展。时空被描述为矩阵模型的非对易膜解,即\R^D的子流形。膜上的场和物质是玻色子响应的涨落。费米子矩阵围绕这样的背景,并耦合到一个有效的度量解释的重力。为半经典极限下的有效几何描述提供了合适的工具。非对易规范理论和紫外/红外混合的作用的关系进行了解释。确定了几种类型的几何形状,特别是“谐波”和“爱因斯坦”型的解决方案。谐波分支的物理进行了详细讨论,强调真空能量的非标准作用。这可能会为这方面的一些大难题提供新的方法。IKKT模型与D=10和密切的亲属被挑出来作为一个有前途的候选人的基本相互作用,包括重力的量子理论。

英文摘要:

A introductory review to emergent noncommutative gravity within Yang-Mills Matrix models is presented. Space-time is described as a noncommutative brane solution of the matrix model, i.e. as submanifold of \R^D. Fields and matter on the brane arise as fluctuations of the bosonic resp. fermionic matrices around such a background, and couple to an effective metric interpreted in terms of gravity. Suitable tools are provided for the description of the effective geometry in the semi-classical limit. The relation to noncommutative gauge theory and the role of UV/IR mixing is explained. Several types of geometries are identified, in particular "harmonic" and "Einstein" type of solutions. The physics of the harmonic branch is discussed in some detail, emphasizing the non-standard role of vacuum energy. This may provide new approach to some of the big puzzles in this context. The IKKT model with D=10 and close relatives are singled out as promising candidates for a quantum theory of fundamental interactions including gravity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑