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We show how to construct, using an elementary extension of the Pinch Technique, all off-shell Green's functions of a non-Abelian gauge theory so that they are locally gauge-invariant and renormalization-group invariant (RGI), as the S-matrix is, as well as being process-independent, coupling-constant independent (dimensional transmutation), and satisfying QED-like Ward identities.
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D. Binosi, J. Papavassiliou, New Schwinger-Dyson equations for non-Abelian gauge theories , JHEP 0811
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D. Binosi, J. Papavassiliou, Pinch technique: Theory and applications , Phys. Rept. 479
2009
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J. M. Cornwall, Positivity issues for the pinch-technique gluon propagator and their resolution , Phys. Rev. D80
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J. M. Cornwall, J. Papavassiliou, and D. Binosi, The pinch technique and applications to non-Abelian gauge theories , Cambridge University Press, Cambridge 2011
2011
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2003
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