Three loop effective potential for ⟨1/2Aμa2⟩ in the Landau gauge in QCD

We apply the local composite operator method to construct the three loop effective potential for the dimension two operator 1/2A(mu)(a2) in the Landau gauge in quantum chromodynamics. For SU(3) we show that the three loop value of the effective mass of the gluon is similar to the two loop estimates when the number of massless quarks is strictly less than five for SU(3).

Automated summary

In this study, the local composite operator method is employed to construct the three loop effective potential for the dimension two operator in quantum chromodynamics. For SU(3), it is shown that the three loop value of the effective mass of the gluon is similar to the two loop estimates when the number of massless quarks is strictly less than five.