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Correlations of center flux in SU(2) Yang-Mills theory

Kurt Langfeld·Hugo Reinhardt·Gunnar Schulze
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Abstract

By using the method of center projection the center vortex part of the gauge field is isolated and its propagator is evaluated in the center Landau gauge, which minimizes the open 3-dimensional Dirac volumes of non-trivial center links bounded by the closed 2-dimensional center vortex surfaces. The center field propagator is found to dominate the gluon propagator (in Landau gauge) in the low momentum regime and to give rise to an OPE correction to the latter of $\sqrtσ /p^3 $.The screening mass of the center vortex field vanishes above the critical temperature of the deconfinement phase transition, which naturally explains the second order nature of this transition consistently with the vortex picture. Finally, the ghost propagator of maximal center gauge is found to be infrared finite and thus shows no signal of confinement.

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Kurt Langfeld, Hugo Reinhardt, Gunnar Schulze. 2005-11-09. Correlations of center flux in SU(2) Yang-Mills theory. https://arxiv.org/abs/hep-lat/0511024

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