Abstract
The gradient flow and its small flow-time expansion provide a very versatile method to represent renormalized composite operators in a regularization-independent manner. This technique has been utilized to construct typical Noether currents such as the energy-momentum tensor and the axial-vector current in lattice gauge theory. In this paper, we apply the same technique to the supercurrent in the four-dimensional N = 1 super Yang-Mills theory (4D N = 1 SYM) in theWess-Zumino gauge. Since this approach provides a priori a representation of the properly normalized conserved supercurrent, our result should be useful, e.g., in lattice numerical simulations of the 4D N = 1 SYM; the conservation of the so-constructed supercurrent can be used as a criterion for the supersymmetric point toward which the gluino mass is tuned.
| Original language | English |
|---|---|
| Article number | 063B03 |
| Journal | Progress of Theoretical and Experimental Physics |
| Volume | 2017 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Jun 1 2017 |
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All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Cite this
4D N = 1 SYM supercurrent in terms of the gradient flow. / Hieda, Kenji; Kasai, Aya; Makino, Hiroki; Suzuki, Hiroshi.
In: Progress of Theoretical and Experimental Physics, Vol. 2017, No. 6, 063B03, 01.06.2017.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - 4D N = 1 SYM supercurrent in terms of the gradient flow
AU - Hieda, Kenji
AU - Kasai, Aya
AU - Makino, Hiroki
AU - Suzuki, Hiroshi
PY - 2017/6/1
Y1 - 2017/6/1
N2 - The gradient flow and its small flow-time expansion provide a very versatile method to represent renormalized composite operators in a regularization-independent manner. This technique has been utilized to construct typical Noether currents such as the energy-momentum tensor and the axial-vector current in lattice gauge theory. In this paper, we apply the same technique to the supercurrent in the four-dimensional N = 1 super Yang-Mills theory (4D N = 1 SYM) in theWess-Zumino gauge. Since this approach provides a priori a representation of the properly normalized conserved supercurrent, our result should be useful, e.g., in lattice numerical simulations of the 4D N = 1 SYM; the conservation of the so-constructed supercurrent can be used as a criterion for the supersymmetric point toward which the gluino mass is tuned.
AB - The gradient flow and its small flow-time expansion provide a very versatile method to represent renormalized composite operators in a regularization-independent manner. This technique has been utilized to construct typical Noether currents such as the energy-momentum tensor and the axial-vector current in lattice gauge theory. In this paper, we apply the same technique to the supercurrent in the four-dimensional N = 1 super Yang-Mills theory (4D N = 1 SYM) in theWess-Zumino gauge. Since this approach provides a priori a representation of the properly normalized conserved supercurrent, our result should be useful, e.g., in lattice numerical simulations of the 4D N = 1 SYM; the conservation of the so-constructed supercurrent can be used as a criterion for the supersymmetric point toward which the gluino mass is tuned.
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UR - http://www.scopus.com/inward/citedby.url?scp=85022190233&partnerID=8YFLogxK
U2 - 10.1093/ptep/ptx073
DO - 10.1093/ptep/ptx073
M3 - Article
AN - SCOPUS:85022190233
VL - 2017
JO - Progress of Theoretical and Experimental Physics
JF - Progress of Theoretical and Experimental Physics
SN - 2050-3911
IS - 6
M1 - 063B03
ER -