Proof of the renormalizability of the gradient flow
Kenji Hieda, Hiroki Makino, and Hiroshi Suzuki
TL;DR
This paper provides an alternative perturbative proof demonstrating that the gradient flow and fermion flow systems in vector-like gauge theories are renormalizable, ensuring their consistency within quantum field theory.
Contribution
It introduces a new perturbative proof of the renormalizability of gradient and fermion flows in gauge theories, offering an alternative to existing proofs.
Findings
Confirmed the renormalizability of the gradient flow system
Extended proof to include fermion flow in vector-like gauge theories
Provided a rigorous mathematical foundation for flow systems in gauge theories
Abstract
We give an alternative perturbative proof of the renormalizability of the system defined by the gradient flow and the fermion flow in vector-like gauge theories.
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