We report the renormalization and mixing constants to one-loop order for the quark and gluon energy-momentum (EM) tensor operators on the lattice. A unique aspect of this mixing calculation is the definition of the glue EM tensor operator. The glue operator is comprised of gauge-field tensors constructed from the overlap Dirac operator. The resulting perturbative calculations are performed using methods similar to the Kawai approach using the Wilson fermion and gauge actions for all QCD vertices and the overlap Dirac operator to define the glue EM tensor. Our results are used to connect the lattice QCD results of quark and glue momenta and angular momenta to the MS¯ scheme at input scale μ.
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This research is partially supported by and the U.S. Department of Energy under Grant No. DE-FG05-84ER40154. We also thank the Center for Computational Sciences at the University of Kentucky for their financial support of M. G.
Glatzmaier, Michael J.; Liu, Keh-Fei; and Yang, Yi-Bo, "Perturbative Renormalization and Mixing of Quark and Glue Energy-Momentum Tensors on the Lattice" (2017). Physics and Astronomy Faculty Publications. 522.