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A combined study of the gluon and ghost condensates and in Euclidean SU(2) Yang-Mills theory in the Landau gauge

M. A. L. Capri·D. Dudal·J. A. Gracey·V. E. R. Lemes·R. F. Sobreiro·S. P. Sorella·H. Verschelde
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Abstract

The ghost condensate is considered together with the gluon condensate in SU(2) Euclidean Yang-Mills theories quantized in the Landau gauge. The vacuum polarization ceases to be transverse due to the nonvanishing condensate . The gluon propagator itself remains transverse. By polarization effects, this ghost condensate induces then a splitting in the gluon mass parameter, which is dynamically generated through . The obtained effective masses are real when is included in the analysis. In the absence of , the already known result that the ghost condensate induces effective tachyonic masses is recovered. At the one-loop level, we find that the effective diagonal mass becomes smaller than the off-diagonal one. This might serve as an indication for some kind of Abelian dominance in the Landau gauge, similar to what happens in the maximal Abelian gauge.

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M. A. L. Capri, D. Dudal, J. A. Gracey, V. E. R. Lemes, R. F. Sobreiro, S. P. Sorella, H. Verschelde. 2005-08-29. A combined study of the gluon and ghost condensates and in Euclidean SU(2) Yang-Mills theory in the Landau gauge. https://doi.org/10.1103/physrevd.73.014001

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