Perturbative Renormalization and Mixing of Quark and Glue Energy-Momentum Tensors on the Lattice

Abstract

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 action 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 $\overline{\text{MS}}$ scheme at input scale $\mu$

26 pages, 6 figures

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• Evidence for polarization of gluons in the proton
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Cited by in corpus (8)

• A Lattice Study of Quark and Glue Momenta and Angular Momenta in the Nucleon
• Hadrons and Nuclei
• The Parton Orbital Angular Momentum: Status and Prospects
• Lattice Calculation of Nucleon Isovector Axial Charge with Improved Currents
• Quark and Glue Components of the Proton Spin from Lattice Calculation
• From Nuclear Structure to Nucleon Structure
• Symmetric point flavour singlet axial vector current renormalization at two loops
• Strange quark momentum fraction from overlap fermion