Proof of the renormalizability of the gradient flow

Hiroki Makino; Hiroshi Suzuki; Kenji Hieda

Proof of the renormalizability of the gradient flow

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arxiv 1604.06200 v4 pith:V2LHBP26 submitted 2016-04-21 hep-lat

Kenji Hieda , Hiroki Makino , Hiroshi Suzuki This is my paper · ORCID

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keywords flowgradientproofrenormalizabilityalternativedefinedfermiongauge

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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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Monte Carlo Simulation of the $SU(2)/\mathbb{Z}_2$ Yang--Mills Theory
hep-lat 2024-12 conditional novelty 7.0 of 10

Making the Z2 two-form gauge field dynamical in an SU(2)/Z2 lattice simulation shortens the autocorrelation time of the topological charge and of a gradient-flow energy observable compared with conventional SU(2) HMC.

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