The Energy-Momentum Tensor(s) in Classical Gauge Theories
  We give an introduction to, and review of, the energy-momentum tensors in classical gauge field theories in Minkowski space, and to some extent also in curved space-time. For the canonical energy-momentum tensor of non-Abelian gauge fields and of matter fields coupled to such fields, we present a new and simple improvement procedure based on gauge invariance for constructing a gauge invariant, symmetric energy-momentum tensor. The relationship with the Einstein-Hilbert tensor following from the coupling to a gravitational field is also discussed. 
Daniel N. Blaschke, Francois Gieres, Meril Reboud and Manfred Schweda
hep-th math-ph math.MP physics.class-ph