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Lattice gauge theory results show the confinement for the quark potential indifferent Yang-Mills theories and even the G(2) gauge theory. LGT calculationsshow that quark potential should have the down concavity behavior. Confinementproperties can be explained using the thick center vortex model. However anupward concavity is seen in the quark potential intervals using this model.After study the reason of this concavity, it is shown the non physicalconcavity can be reduced by taking an arbitrary symmetric vortex flux in thespace time plane of the lattice.

On the non-physical concavity of the quark potentials within the thick center vortex model