English

Generalized Gradient Flow Equation and Its Application to Super Yang-Mills Theory

High Energy Physics - Theory 2015-06-22 v3 High Energy Physics - Lattice

Abstract

We generalize the gradient flow equation for field theories with nonlinearly realized symmetry. Applying the formalism to super Yang-Mills theory, we construct a supersymmetric extension of the gradient flow equation. It can be shown that the super gauge symmetry is preserved in the gradient flow. Furthermore, choosing an appropriate modification term to damp the gauge degrees of freedom, we obtain a gradient flow equation which is closed within the Wess-Zumino gauge.

Keywords

Cite

@article{arxiv.1408.2185,
  title  = {Generalized Gradient Flow Equation and Its Application to Super Yang-Mills Theory},
  author = {Kengo Kikuchi and Tetsuya Onogi},
  journal= {arXiv preprint arXiv:1408.2185},
  year   = {2015}
}

Comments

35 pages, v2: typos corrected and references added, v3: published version

R2 v1 2026-06-22T05:24:13.058Z