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 - Funding Information:
This work is supported by JSPS KAKENHI Grant Number JP16K05328 and the MEXT -Supported Program for the Strategic Research Foundation at Private Universities Topological Science (Grant No. S1511006 ). The work of M. H. is partly supported by Grant-in-Aid for Scientific Research JP25287046 and JP17K14285 . The work of S. M. is partly supported by Grant-in-Aid for Scientific Research (C) 15K05060 . The work of F. S. is partly supported by Grant-in-Aid for Scientific Research (C) , 25400289 , and by IBS-R018-D2.
Publisher Copyright:
© 2018 The Author(s)

PY - 2018/4

Y1 - 2018/4

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

AN - SCOPUS:85042540942

SN - 0550-3213

VL - 929

SP - 266

EP - 297

JO - Nuclear Physics B

JF - Nuclear Physics B

ER -