TY - JOUR
T1 - 4D N = 1 SYM supercurrent on the lattice in terms of the gradient flow
AU - Hieda, Kenji
AU - Kasai, Aya
AU - Makino, Hiroki
AU - Suzuki, Hiroshi
N1 - Funding Information:
We would like to thank Gernot Münster and Issaku Kanamori for fruitful discussions during the conference. This work was supported by JSPS Grant-in-Aid for Scientific Research Grant Numbers JP16J02259 (A. K.) and JP16H03982 (H. S.).
PY - 2018/3/26
Y1 - 2018/3/26
N2 - The gradient flow [1-5] gives rise to a versatile method to construct renor-malized composite operators in a regularization-independent manner. By adopting this method, the authors of Refs. [6-9] obtained the expression of Noether currents on the lattice in the cases where the associated symmetries are broken by lattice regularization. We apply the same method to the Noether current associated with supersymmetry, i.e., the supercurrent. We consider the 4D N = 1 super Yang-Mills theory and calculate the renormalized supercurrent in the one-loop level in the Wess-Zumino gauge. We then re-express this supercurrent in terms of the flowed gauge and flowed gaugino fields [10].
AB - The gradient flow [1-5] gives rise to a versatile method to construct renor-malized composite operators in a regularization-independent manner. By adopting this method, the authors of Refs. [6-9] obtained the expression of Noether currents on the lattice in the cases where the associated symmetries are broken by lattice regularization. We apply the same method to the Noether current associated with supersymmetry, i.e., the supercurrent. We consider the 4D N = 1 super Yang-Mills theory and calculate the renormalized supercurrent in the one-loop level in the Wess-Zumino gauge. We then re-express this supercurrent in terms of the flowed gauge and flowed gaugino fields [10].
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U2 - 10.1051/epjconf/201817511014
DO - 10.1051/epjconf/201817511014
M3 - Conference article
AN - SCOPUS:85045151461
VL - 175
JO - EPJ Web of Conferences
JF - EPJ Web of Conferences
SN - 2101-6275
M1 - 11014
T2 - 35th International Symposium on Lattice Field Theory, Lattice 2017
Y2 - 18 June 2017 through 24 June 2017
ER -