O(a) Improvement of 2D N=(2,2) Lattice SYM Theory
High Energy Physics - Lattice
2018-04-04 v2 High Energy Physics - Theory
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.
Cite
@article{arxiv.1711.02319,
title = {O(a) Improvement of 2D N=(2,2) Lattice SYM Theory},
author = {Masanori Hanada and Daisuke Kadoh and So Matsuura and Fumihiko Sugino},
journal= {arXiv preprint arXiv:1711.02319},
year = {2018}
}
Comments
42 pages, no figure; (v2) published version in Nucl. Phys. B