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Center vortex model for the infrared sector of SU(4) Yang-Mills theory: String tensions and deconfinement transition

Michael Engelhardt
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Abstract

A random vortex world-surface model for the infrared sector of SU(4) Yang-Mills theory is constructed, focusing on the confinement properties and the behavior at the deconfinement phase transition. Although the corresponding data from lattice Yang-Mills theory can be reproduced, the model requires a more complex action and considerably more tuning than the SU(2) and SU(3) cases studied previously. Its predictive capabilities are accordingly reduced. This behavior has a definite physical origin, which is elucidated in detail in the present work. As the number of colors is raised in Yang-Mills theory, the corresponding infrared effective vortex description cannot indefinitely continue to rely on dynamics determined purely by vortex world-surface characteristics; additional color structures present on the vortices begin to play a role. As evidenced by the modeling effort reported here, definite signatures of this behavior appear in the case of four colors.

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Michael Engelhardt. 2005-12-12. Center vortex model for the infrared sector of SU(4) Yang-Mills theory: String tensions and deconfinement transition. https://doi.org/10.1103/physrevd.73.034015

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