Study of the nonlocal gauge invariant mass operator $\mathrm{Tr} \int d^4x F_{μν} (D^2)^{-1} F_{μν}$ in the maximal Abelian gauge

Capri, M. A. L.; Lemes, V. E. R.; Sobreiro, R. F.; Sorella, S. P.; Thibes, R.

Study of the nonlocal gauge invariant mass operator $\mathrm{Tr} \int d^4x F_{μν} (D^2)^{-1} F_{μν}$ in the maximal Abelian gauge

Authors

Description

The nonlocal gauge invariant mass operator $\mathrm{Tr} \int d^{4}x F_{μν} (D^2)^{-1} F_{μν}$ is investigated in Yang-Mills theories in the maximal Abelian gauge. By means of the introduction of auxiliary fields a local action is achieved, enabling us to use the algebraic renormalization in order to prove the renormalizability of the resulting local model to all orders of perturbation theory.