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Two-loop ghost-antighost condensation for SU(2) Yang-Mills theories in the Maximal Abelian Gauge

A. R. Fazio
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Abstract

In the framework of the formalism of Cornwall et all. for composite operators I study the ghost-antighost condensation in SU(2) Yang-Mills theories quantized in the Maximal Abelian Gauge and I derive analytically a condensating effective potential at two ghost loops. I find that in this approximation the one loop pairing ghost-antighost is not destroyed but no mass is generated if the ansatz for the propagator suggested by the tree level Hubbard-Stratonovich transformations is used.

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A. R. Fazio. 2004-11-09. Two-loop ghost-antighost condensation for SU(2) Yang-Mills theories in the Maximal Abelian Gauge. https://doi.org/10.1142/s0217732305016762

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