Geometry of the theory space in the exact renormalization group formalism

被引：7

作者：

Pagani, C. ^{[1
]}

Sonoda, H. ^{[2
]}

机构：

[1] Johannes Gutenberg Univ Mainz, Inst Phys WA THEP, Staudingerweg 7, D-55099 Mainz, Germany

[2] Kobe Univ, Phys Dept, Kobe, Hyogo 6578501, Japan

来源：

PHYSICAL REVIEW D | 2018年 / 97卷 / 02期

关键词：

FIELD THEORIES; DIMENSIONS; EQUATION;

D O I：

10.1103/PhysRevD.97.025015

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider the theory space as a manifold whose coordinates are given by the couplings appearing in the Wilson action. We discuss how to introduce connections on this theory space. A particularly intriguing connection can be defined directly from the solution of the exact renormalization group (ERG) equation. We advocate a geometric viewpoint that lets us define straightforwardly physically relevant quantities invariant under the changes of a renormalization scheme.

引用

页数：11

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