The asymmetry of the dimension 2 gluon condensate: the zero temperature case

Understand

We provide an algebraic study of the local composite operators A_\mu A_\nu-\delta_{\mu\nu}/d A^2 and A^2, with d=4 the spacetime dimension.

• We prove that these are separately renormalizable to all orders in the Landau gauge.
• This corresponds to a renormalizable decomposition of the operator A_\mu A_\nu into its trace and traceless part.
• We present explicit results for the relevant renormalization group functions to three loop order, accompanied with various tests of these results.