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
M. A. L. Capri,
V. E. R. Lemes,
R. F. Sobreiro
et al.
Abstract:The nonlocal gauge invariant mass operator Tr R d 4 x Fµν(D 2 ) −1 Fµν 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.
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