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

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Abstract

Lattice gauge theory (LGT) results denote to the confinement for the quark potential in various Yang–Mills theories. This property can also be obtained for the G(2) gauge theory. LGT calculations show that quark potential should have the downward concavity behavior. Confinement properties can be explained using the thick center vortex model. However using this model, an upward concavity is seen in some intervals of the quark potential. Considering the reason of this concavity, it is shown that the non-physical upward concavity (convexity) can be reduced by taking an arbitrary symmetric vortex flux in the space–time plane of the lattice.

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Authors and Affiliations

  1. Faculty of Physics, Yazd University, P.O. Box 89195-741, Yazd, Iran

    H. Lookzadeh & M. Hosseini

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  1. H. Lookzadeh
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  2. M. Hosseini
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Lookzadeh, H., Hosseini, M. On the non-physical concavity of the quark potentials within the thick center vortex model. Indian J Phys 97, 4439–4455 (2023). https://doi.org/10.1007/s12648-023-02770-4

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