Ferrara-Zumino supermultiplet and the energy-momentum tensor in the lattice formulation of 4D N=1 SYM

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Abstract

It is well-known that Noether currents in the classical four-dimensional N=1 supersymmetric Yang-Mills theory (4D N=1 SYM), i.e., the U(1)A current, the supersymmetry (SUSY) current and the energy-momentum tensor, form a multiplet under SUSY, called the Ferrara-Zumino supermultiplet. Inspired by this structure, we define the energy-momentum tensor in the lattice formulation of 4D N=1 SYM by a renormalized super transformation of a lattice SUSY current. By using a renormalized SUSY Ward-Takahashi relation, the energy-momentum tensor so constructed is shown to be conserved in the quantum continuum limit. Our construction of the energy-momentum tensor is very explicit and usable in non-perturbative numerical simulations.

Original languageEnglish
Pages (from-to)459-475
Number of pages17
JournalNuclear Physics B
Volume868
Issue number2
DOIs
Publication statusPublished - Mar 11 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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