### Abstract

The gradient flow and its small flow-time expansion provide a very versatile method to represent renormalized composite operators in a regularization-independent manner. This technique has been utilized to construct typical Noether currents such as the energy-momentum tensor and the axial-vector current in lattice gauge theory. In this paper, we apply the same technique to the supercurrent in the four-dimensional N = 1 super Yang-Mills theory (4D N = 1 SYM) in theWess-Zumino gauge. Since this approach provides a priori a representation of the properly normalized conserved supercurrent, our result should be useful, e.g., in lattice numerical simulations of the 4D N = 1 SYM; the conservation of the so-constructed supercurrent can be used as a criterion for the supersymmetric point toward which the gluino mass is tuned.

Original language | English |
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Article number | 063B03 |

Journal | Progress of Theoretical and Experimental Physics |

Volume | 2017 |

Issue number | 6 |

DOIs | |

Publication status | Published - Jun 1 2017 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

*Progress of Theoretical and Experimental Physics*,

*2017*(6), [063B03]. https://doi.org/10.1093/ptep/ptx073

**4D N = 1 SYM supercurrent in terms of the gradient flow.** / Hieda, Kenji; Kasai, Aya; Makino, Hiroki; Suzuki, Hiroshi.

Research output: Contribution to journal › Article

*Progress of Theoretical and Experimental Physics*, vol. 2017, no. 6, 063B03. https://doi.org/10.1093/ptep/ptx073

}

TY - JOUR

T1 - 4D N = 1 SYM supercurrent in terms of the gradient flow

AU - Hieda, Kenji

AU - Kasai, Aya

AU - Makino, Hiroki

AU - Suzuki, Hiroshi

PY - 2017/6/1

Y1 - 2017/6/1

N2 - The gradient flow and its small flow-time expansion provide a very versatile method to represent renormalized composite operators in a regularization-independent manner. This technique has been utilized to construct typical Noether currents such as the energy-momentum tensor and the axial-vector current in lattice gauge theory. In this paper, we apply the same technique to the supercurrent in the four-dimensional N = 1 super Yang-Mills theory (4D N = 1 SYM) in theWess-Zumino gauge. Since this approach provides a priori a representation of the properly normalized conserved supercurrent, our result should be useful, e.g., in lattice numerical simulations of the 4D N = 1 SYM; the conservation of the so-constructed supercurrent can be used as a criterion for the supersymmetric point toward which the gluino mass is tuned.

AB - The gradient flow and its small flow-time expansion provide a very versatile method to represent renormalized composite operators in a regularization-independent manner. This technique has been utilized to construct typical Noether currents such as the energy-momentum tensor and the axial-vector current in lattice gauge theory. In this paper, we apply the same technique to the supercurrent in the four-dimensional N = 1 super Yang-Mills theory (4D N = 1 SYM) in theWess-Zumino gauge. Since this approach provides a priori a representation of the properly normalized conserved supercurrent, our result should be useful, e.g., in lattice numerical simulations of the 4D N = 1 SYM; the conservation of the so-constructed supercurrent can be used as a criterion for the supersymmetric point toward which the gluino mass is tuned.

UR - http://www.scopus.com/inward/record.url?scp=85022190233&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85022190233&partnerID=8YFLogxK

U2 - 10.1093/ptep/ptx073

DO - 10.1093/ptep/ptx073

M3 - Article

AN - SCOPUS:85022190233

VL - 2017

JO - Progress of Theoretical and Experimental Physics

JF - Progress of Theoretical and Experimental Physics

SN - 2050-3911

IS - 6

M1 - 063B03

ER -