### Abstract

We perform a tree-level O(a) improvement of two-dimensional N=(2,2) supersymmetric Yang–Mills theory on the lattice, motivated by the fast convergence in numerical simulations. The improvement respects an exact supersymmetry Q which is needed for obtaining the correct continuum limit without a parameter fine tuning. The improved lattice action is given within a milder locality condition in which the interactions are decaying as the exponential of the distance on the lattice. We also prove that the path-integral measure is invariant under the improved Q-transformation.

Original language | English |
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Pages (from-to) | 266-297 |

Number of pages | 32 |

Journal | Nuclear Physics B |

Volume | 929 |

DOIs | |

Publication status | Published - 2018 Apr 1 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*929*, 266-297. https://doi.org/10.1016/j.nuclphysb.2018.02.008

**O(a) improvement of 2D N=(2,2) lattice SYM theory.** / Hanada, Masanori; Kadoh, Daisuke; Matsuura, So; Sugino, Fumihiko.

Research output: Contribution to journal › Article

*Nuclear Physics B*, vol. 929, pp. 266-297. https://doi.org/10.1016/j.nuclphysb.2018.02.008

}

TY - JOUR

T1 - O(a) improvement of 2D N=(2,2) lattice SYM theory

AU - Hanada, Masanori

AU - Kadoh, Daisuke

AU - Matsuura, So

AU - Sugino, Fumihiko

PY - 2018/4/1

Y1 - 2018/4/1

N2 - We perform a tree-level O(a) improvement of two-dimensional N=(2,2) supersymmetric Yang–Mills theory on the lattice, motivated by the fast convergence in numerical simulations. The improvement respects an exact supersymmetry Q which is needed for obtaining the correct continuum limit without a parameter fine tuning. The improved lattice action is given within a milder locality condition in which the interactions are decaying as the exponential of the distance on the lattice. We also prove that the path-integral measure is invariant under the improved Q-transformation.

AB - We perform a tree-level O(a) improvement of two-dimensional N=(2,2) supersymmetric Yang–Mills theory on the lattice, motivated by the fast convergence in numerical simulations. The improvement respects an exact supersymmetry Q which is needed for obtaining the correct continuum limit without a parameter fine tuning. The improved lattice action is given within a milder locality condition in which the interactions are decaying as the exponential of the distance on the lattice. We also prove that the path-integral measure is invariant under the improved Q-transformation.

UR - http://www.scopus.com/inward/record.url?scp=85042540942&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85042540942&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2018.02.008

DO - 10.1016/j.nuclphysb.2018.02.008

M3 - Article

VL - 929

SP - 266

EP - 297

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

ER -