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

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

2004-11-09

arxiv.org/abs/hep-th/0411098v1

Mod.Phys.Lett. A20 (2005) 585-596

Physics

High Energy Physics

High Energy Physics - Theory

Submitted to Modern Physics Letters A, 12 pages

Scientific paper

10.1142/S0217732305016762

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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