5 papers
Background dependent cutoff for Wilson actions
Carlo Pagani, Hidenori Sonoda
We study the application of the background field method in the framework of the exact renormalization group (ERG). By considering the case of a scalar field theory, we provide a de…
On the field independent additive constant in Wilson actions
Carlo Pagani, Hidenori Sonoda
We discuss the field independent additive constant in Wilson actions carefully within the exact renormalization group formalism. The additive constant does not affect the correlati…
Exact Renormalization Group in Large
Hidenori Sonoda
We apply the exact renormalization group formalism to compute the effective action and potential of the four dimensional O linear sigma model in large . With a finite momen…
One-particle irreducible Wilson action in the gradient flow exact renormalization group formalism
Hidenori Sonoda, Hiroshi Suzuki
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 conside…
Manifestly gauge invariant exact renormalization group for quantum electrodynamics
Yuki Miyakawa, Hidenori Sonoda, Hiroshi Suzuki
We formulate quantum electrodynamics on the basis of gauge (or BRST) covariant diffusion equations of fields. This is a particular example of the gradient flow exact renormalizatio…