The operator algebra at the Gaussian fixed-point

被引：0

作者：

Sonoda, H. ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2021年 / 36卷 / 16期

关键词：

Exact renormalization group; composite operators; operator products;

D O I：

10.1142/S0217751X21501062

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We consider the multiple products of relevant and marginal scalar composite operators at the Gaussian fixed-point in D = 4 dimensions. This amounts to perturbative construction of the phi(4) theory where the parameters of the theory are momentum-dependent sources. Using the exact renormalization group (ERG) formalism, we show how the scaling properties of the sources are given by the short-distance singularities of the multiple products.

引用

页数：37

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