English

Lattice energy-momentum tensor from the Yang-Mills gradient flow -- inclusion of fermion fields

High Energy Physics - Lattice 2016-06-21 v5 High Energy Physics - Theory

Abstract

Local products of fields deformed by the so-called Yang--Mills gradient flow become renormalized composite operators. This fact has been utilized to construct a correctly normalized conserved energy--momentum tensor in the lattice formulation of the pure Yang--Mills theory. In the present paper, this construction is further generalized for vector-like gauge theories containing fermions.

Keywords

Cite

@article{arxiv.1403.4772,
  title  = {Lattice energy-momentum tensor from the Yang-Mills gradient flow -- inclusion of fermion fields},
  author = {Hiroki Makino and Hiroshi Suzuki},
  journal= {arXiv preprint arXiv:1403.4772},
  year   = {2016}
}

Comments

32 pages, added an appendix, errors in the one-loop calculation were corrected