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.
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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 -