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.).

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

VL - 2018

JO - Progress of Theoretical and Experimental Physics

JF - Progress of Theoretical and Experimental Physics

SN - 2050-3911

IS - 11

M1 - 113B02

ER -