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PreprintarXiv licencearXiv

One-loop mixing matrix of the N=1 SYM Supercurrent operator upon renormalization on the Lattice using stout-smeared Links

Abstract

We extend the perturbative investigation of the renormalization and mixing patterns of the supercurrent operator in lattice cal N=1 supersymmetric Yang-Mills (SYM) theory, using stout-smeared gauge links. We employ the SLiNC action for gluinos and a family of Symanzik improved gauge actions for gluons. Building upon previous studies employing clover-improved fermions and the Wilson gauge action, we compute the one-loop mixing matrix of the supercurrent operator among gauge-invariant and gauge-variant operators. Particular emphasis is placed on the structure of operator mixing in the presence of stout smearing parameters. Our results contribute toward refining fine-tuning strategies necessary for the restoration of supersymmetry in the continuum limit, and provide a stepping stone for future perturbative and nonperturbative investigations in supersymmetric theories on the lattice.

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BibTeX
@misc{costa2026oneloop,
  title = {{One-loop mixing matrix of the N=1 SYM Supercurrent operator upon renormalization on the Lattice using stout-smeared Links}},
  author = {Marios Costa and Elias Antoniou and Constantinos Costa and Salomi Dimou and Haralambos Panagopoulos},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.24632},
  eprint = {2610.24632},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.24632},
}
RIS
TY  - UNPB
TI  - One-loop mixing matrix of the N=1 SYM Supercurrent operator upon renormalization on the Lattice using stout-smeared Links
AU  - Marios Costa
AU  - Elias Antoniou
AU  - Constantinos Costa
AU  - Salomi Dimou
AU  - Haralambos Panagopoulos
PY  - 2026
DA  - 2026/10/17
PB  - arXiv
DO  - 10.48550/arxiv.2610.24632
UR  - https://arxiv.org/abs/2610.24632
AB  - We extend the perturbative investigation of the renormalization and mixing patterns of the supercurrent operator in lattice cal N=1 supersymmetric Yang-Mills (SYM) theory, using stout-smeared gauge links. We employ the SLiNC action for gluinos and a family of Symanzik improved gauge actions for gluons. Building upon previous studies employing clover-improved fermions and the Wilson gauge action, we compute the one-loop mixing matrix of the supercurrent operator among gauge-invariant and gauge-variant operators. Particular emphasis is placed on the structure of operator mixing in the presence of stout smearing parameters. Our results contribute toward refining fine-tuning strategies necessary for the restoration of supersymmetry in the continuum limit, and provide a stepping stone for future perturbative and nonperturbative investigations in supersymmetric theories on the lattice.
ER  -