TY - JOUR
T1 - Gradient flow representation of the four-dimensional N = 2 super Yang-Mills supercurrent
AU - Kasai, Aya
AU - Morikawa, Okuto
AU - Suzuki, Hiroshi
N1 - Funding Information:
We would like to thank Hiroki Makino for discussions. This work was supported by Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research Grant Numbers JP16J02259 (A. K.), JP18J20935 (O. M.), and JP16H03982 (H. S.).
Publisher Copyright:
© The Author(s) 2018. Published by Oxford University Press on behalf of the Physical Society of Japan.
PY - 2018/11/1
Y1 - 2018/11/1
N2 - In K. Hieda, A. Kasai, H. Makino, and H. Suzuki, Prog. Theor. Exp. Phys. 2017, 063B03 (2017), a properly normalized supercurrent in the four-dimensional (4D) N = 1 super Yang-Mills theory (SYM) that works within on-mass-shell correlation functions of gauge-invariant operators is expressed in a regularization-independent manner by employing the gradient flow. In the present paper, this construction is extended to the supercurrent in the 4D N = 2 SYM. The so-constructed supercurrent will be useful, for instance, for fine tuning of lattice parameters toward the supersymmetric continuum limit in future lattice simulations of the 4D N = 2 SYM.
AB - In K. Hieda, A. Kasai, H. Makino, and H. Suzuki, Prog. Theor. Exp. Phys. 2017, 063B03 (2017), a properly normalized supercurrent in the four-dimensional (4D) N = 1 super Yang-Mills theory (SYM) that works within on-mass-shell correlation functions of gauge-invariant operators is expressed in a regularization-independent manner by employing the gradient flow. In the present paper, this construction is extended to the supercurrent in the 4D N = 2 SYM. The so-constructed supercurrent will be useful, for instance, for fine tuning of lattice parameters toward the supersymmetric continuum limit in future lattice simulations of the 4D N = 2 SYM.
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U2 - 10.1093/ptep/pty117
DO - 10.1093/ptep/pty117
M3 - Article
AN - SCOPUS:85063224518
SN - 2050-3911
VL - 2018
JO - Progress of Theoretical and Experimental Physics
JF - Progress of Theoretical and Experimental Physics
IS - 11
M1 - 113B02
ER -