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

Hidenori Sonoda, Hiroshi Suzuki

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number053B01
JournalProgress of Theoretical and Experimental Physics
Volume2022
Issue number5
DOIs
Publication statusPublished - May 1 2022

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Fingerprint

Dive into the research topics of 'One-particle irreducible Wilson action in the gradient flow exact renormalization group formalism'. Together they form a unique fingerprint.

Cite this