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- W4225934493 abstract "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." @default.
- W4225934493 created "2022-05-05" @default.
- W4225934493 creator A5081462168 @default.
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- W4225934493 date "2022-03-10" @default.
- W4225934493 modified "2023-09-25" @default.
- W4225934493 title "One-particle irreducible Wilson action in the gradient flow exact renormalization group formalism" @default.
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- W4225934493 doi "https://doi.org/10.1093/ptep/ptac047" @default.
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