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Confining Potentials

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Abstract

We use the ‘t Hooft-Wilson method for the generation of static fermions potential in order to derive a class of confining potentials which can describe the quark confinement. A general pattern for the construction of propagators through the localization of nonlocal actions is uncovered.

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Notes

  1. Ta are the SU(N) group generators.

  2. Except for an infinite factor of self-energy

  3. We introduced a constant ξ = ± 1. Its role will soon be clear.

  4. C2(R) is the value of the Casimir in the representation G.

  5. The gauge group is SU(N).

  6. Now, it is known that there are copies inside the first region [10, 25]. The more restrictive modular region, within the first Gribov region, has to be considered in order to try to get rid of the copies.

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Authors and Affiliations

  1. Instituto de Física, Universidade Federal do Fluminense, Av. Litorânea S/N, Boa Viagem, Niterói, RJ, 24210-340, Brazil

    R. L. P. G. Amaral

  2. Instituto de Física, Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, Maracanã, Rio de Janeiro, RJ, 20550-013, Brazil

    V. E. R. Lemes & L. C. Q. Vilar

  3. Departamento de Física, Centro Federal de Educação Tecnológica do Rio de Janeiro, Av. Maracanã 249, Rio de Janeiro, RJ, 20271-110, Brazil

    O. S. Ventura

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  1. R. L. P. G. Amaral
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  2. V. E. R. Lemes
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  3. O. S. Ventura
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  4. L. C. Q. Vilar
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Correspondence to O. S. Ventura.

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Amaral, R.L.P.G., Lemes, V.E.R., Ventura, O.S. et al. Confining Potentials. Braz J Phys 49, 564–570 (2019). https://doi.org/10.1007/s13538-019-00675-4

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