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arXiv · 0710.5741

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·S. P. Sorella·R. Thibes
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Abstract

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.

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M. A. L. Capri, V. E. R. Lemes, R. F. Sobreiro, S. P. Sorella, R. Thibes. 2007-10-30. 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. https://doi.org/10.1088/1751-8113%2F41%2F15%2F155401

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