One-particle irreducible Wilson action in the gradient flow exact renormalization group formalism

被引：1

作者：

Sonoda, Hidenori ^{[1
]}

Suzuki, Hiroshi ^{[2
]}

机构：

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

[2] Kyushu Univ, Dept Phys, Nishi Ku, 744 Motooka, Fukuoka 8190395, Japan

来源：

PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS | 2022年 / 2022卷 / 05期

基金：

日本学术振兴会;

关键词：

B05; B32; EXACT EVOLUTION EQUATION; CHIRAL-SYMMETRY; MASSLESS QUARKS; BRS SYMMETRY; LATTICE; QCD;

D O I：

10.1093/ptep/ptac047

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We define a one-particle irreducible (1PI) Wilson action in the gradient flow exact renormalization group (GFERG) formalism as the Legendre transform of a Wilson action. We consider quantum electrodynamics in particular, and show that the GFERG flow equation preserves the invariance of the 1PI Wilson action (excluding the gauge-fixing term) under the conventionalU(1) gauge transformation. This is in contrast to the invariance of the original Wilson action under a modified U(1) gauge transformation. The global chiral transformation also takes the conventional form for the 1PI Wilson action. Despite the complexity of the GFERG flow equation, the conventional form of the gauge and global chiral transformations may allow us to introduce a non-perturbative Ansatz for gauge and chiral invariant 1PI Wilson actions.

引用

页数：17

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