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arXiv 1001.3595hep-thmath-phmath.DGmath.MP
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重整化群与Ricci流

Renormalization Group and the Ricci flow

Mauro Carfora

摘要:

本文从几何的观点讨论了非线性西格玛模型的重整化群流与Ricci流之间的联系。这为二维量子场论提供了新的视角。特别是我们认为,里奇流奇点的结构表明了一种自然的方式延伸,超越弱耦合制度,嵌入的里奇流到重整化群流。

英文摘要:

We discuss from a geometric point of view the connection between the renormalization group flow for non--linear sigma models and the Ricci flow. This offers new perspectives in providing a geometrical landscape for 2D quantum field theories. In particular we argue that the structure of Ricci flow singularities suggests a natural way for extending, beyond the weak coupling regime, the embedding of the Ricci flow into the renormalization group flow.

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。

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