TY - JOUR

T1 - SUSY WT identity in a lattice formulation of 2D N = (2, 2) SYM

AU - Kadoh, Daisuke

AU - Suzuki, Hiroshi

N1 - Funding Information:
We would like to thank Yasuyuki Hatsuda, Yoshio Kikukawa, Martin Lüscher, Tetsuya Onogi, Fumihiko Sugino and Asato Tsuchiya for helpful discussions. Discussions during the YITP workshop, “Development of Quantum Field Theory and String Theory” (YITP-W-09-04), were very useful to complete this work and we would like to thank the Yukawa Institute for Theoretical Physics at Kyoto University for the hospitality. The work of H.S. is supported in part by a Grant-in-Aid for Scientific Research, 18540305.

PY - 2010/1/4

Y1 - 2010/1/4

N2 - We address some issues relating to a supersymmetric (SUSY) Ward-Takahashi (WT) identity in Sugino's lattice formulation of two-dimensional (2D) N = (2, 2) SU (k) supersymmetric Yang-Mills theory (SYM). A perturbative argument shows that the SUSY WT identity in the continuum theory is reproduced in the continuum limit without any operator renormalization/mixing and tuning of lattice parameters. As application of the lattice SUSY WT identity, we show that a prescription for the Hamiltonian density in this lattice formulation, proposed by Kanamori, Sugino and Suzuki, is justified also from a perspective of an operator algebra among correctly-normalized supercurrents. We explicitly confirm the SUSY WT identity in the continuum limit to the first nontrivial order in a semi-perturbative expansion.

AB - We address some issues relating to a supersymmetric (SUSY) Ward-Takahashi (WT) identity in Sugino's lattice formulation of two-dimensional (2D) N = (2, 2) SU (k) supersymmetric Yang-Mills theory (SYM). A perturbative argument shows that the SUSY WT identity in the continuum theory is reproduced in the continuum limit without any operator renormalization/mixing and tuning of lattice parameters. As application of the lattice SUSY WT identity, we show that a prescription for the Hamiltonian density in this lattice formulation, proposed by Kanamori, Sugino and Suzuki, is justified also from a perspective of an operator algebra among correctly-normalized supercurrents. We explicitly confirm the SUSY WT identity in the continuum limit to the first nontrivial order in a semi-perturbative expansion.

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U2 - 10.1016/j.physletb.2009.11.028

DO - 10.1016/j.physletb.2009.11.028

M3 - Article

AN - SCOPUS:72049101447

SN - 0370-2693

VL - 682

SP - 466

EP - 471

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 4-5

ER -