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

N1 - Publisher Copyright:
Copyright © 2017, The Authors. All rights reserved.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2017/11/7

Y1 - 2017/11/7

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.

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M3 - Article

AN - SCOPUS:85093008898

JO - Mathematical Social Sciences

JF - Mathematical Social Sciences

SN - 0165-4896

ER -