### Abstract

It is well-known that Noether currents in the classical four-dimensional N=1 supersymmetric Yang-Mills theory (4D N=1 SYM), i.e., the U(1)_{A} current, the supersymmetry (SUSY) current and the energy-momentum tensor, form a multiplet under SUSY, called the Ferrara-Zumino supermultiplet. Inspired by this structure, we define the energy-momentum tensor in the lattice formulation of 4D N=1 SYM by a renormalized super transformation of a lattice SUSY current. By using a renormalized SUSY Ward-Takahashi relation, the energy-momentum tensor so constructed is shown to be conserved in the quantum continuum limit. Our construction of the energy-momentum tensor is very explicit and usable in non-perturbative numerical simulations.

Original language | English |
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Pages (from-to) | 459-475 |

Number of pages | 17 |

Journal | Nuclear Physics B |

Volume | 868 |

Issue number | 2 |

DOIs | |

Publication status | Published - Mar 11 2013 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

**Ferrara-Zumino supermultiplet and the energy-momentum tensor in the lattice formulation of 4D N=1 SYM.** / Suzuki, Hiroshi.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Ferrara-Zumino supermultiplet and the energy-momentum tensor in the lattice formulation of 4D N=1 SYM

AU - Suzuki, Hiroshi

PY - 2013/3/11

Y1 - 2013/3/11

N2 - It is well-known that Noether currents in the classical four-dimensional N=1 supersymmetric Yang-Mills theory (4D N=1 SYM), i.e., the U(1)A current, the supersymmetry (SUSY) current and the energy-momentum tensor, form a multiplet under SUSY, called the Ferrara-Zumino supermultiplet. Inspired by this structure, we define the energy-momentum tensor in the lattice formulation of 4D N=1 SYM by a renormalized super transformation of a lattice SUSY current. By using a renormalized SUSY Ward-Takahashi relation, the energy-momentum tensor so constructed is shown to be conserved in the quantum continuum limit. Our construction of the energy-momentum tensor is very explicit and usable in non-perturbative numerical simulations.

AB - It is well-known that Noether currents in the classical four-dimensional N=1 supersymmetric Yang-Mills theory (4D N=1 SYM), i.e., the U(1)A current, the supersymmetry (SUSY) current and the energy-momentum tensor, form a multiplet under SUSY, called the Ferrara-Zumino supermultiplet. Inspired by this structure, we define the energy-momentum tensor in the lattice formulation of 4D N=1 SYM by a renormalized super transformation of a lattice SUSY current. By using a renormalized SUSY Ward-Takahashi relation, the energy-momentum tensor so constructed is shown to be conserved in the quantum continuum limit. Our construction of the energy-momentum tensor is very explicit and usable in non-perturbative numerical simulations.

UR - http://www.scopus.com/inward/record.url?scp=84870799165&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84870799165&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2012.11.023

DO - 10.1016/j.nuclphysb.2012.11.023

M3 - Article

AN - SCOPUS:84870799165

VL - 868

SP - 459

EP - 475

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 2

ER -