4D N = 1 SYM supercurrent in terms of the gradient flow

Kenji Hieda, Aya Kasai, Hiroki Makino, Hiroshi Suzuki

Research output: Contribution to journalArticle

8 Citations (Scopus)

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 languageEnglish
Article number063B03
JournalProgress of Theoretical and Experimental Physics
Volume2017
Issue number6
DOIs
Publication statusPublished - Jun 1 2017

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gradients
vector currents
Yang-Mills theory
gauge theory
conservation
kinetic energy
tensors
operators
expansion
composite materials
simulation

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 journalArticle

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