Gradient flow representation of the four-dimensional super Yang–Mills supercurrent

Kasai, Aya (Department of Physics, Kyushu University 744 Motooka, Nishi-ku, Fukuoka, Japan) ; Morikawa, Okuto (Department of Physics, Kyushu University 744 Motooka, Nishi-ku, Fukuoka, Japan) ; Suzuki, Hiroshi (Department of Physics, Kyushu University 744 Motooka, Nishi-ku, Fukuoka, Japan)

01 December 2018

Abstract: 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) 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 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 SYM.


Published in: PTEP 2018 (2018) 113B02
Published by: Oxford University Press/Physical Society of Japan
DOI: 10.1093/ptep/pty117
arXiv: 1808.07300
License: CC-BY-3.0



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