Quark-Antiquark Potential from a Deformed AdS/QCD

Henrique Boschi-Filho (Instituto de Física, Universidade Federal do Rio de Janeiro, 21.941-972 - Rio de Janeiro-RJ, Brazil) ; Rodrigo C.L. Bruni (Departamento de Física Teórica, Universidade do Estado do Rio de Janeiro, 20.550-900 - Rio de Janeiro-RJ, Brazil) ; Eduardo Folco Capossoli (Departamento de Física and Mestrado Profissional em Práticas da Educação Básica (MPPEB), Colégio Pedro II, 20.921-903 - Rio de Janeiro-RJ, Brazil; Instituto de Física, Universidade Federal do Rio de Janeiro, 21.941-972 - Rio de Janeiro-RJ, Brazil)

In this work we calculate the static limit of the energy for a quark-antiquark pair from the Nambu-Goto action using a holographic approach with a deformed AdS space, with warp factor exp{(κz)n/n}. From this energy we derive the Cornell potential for the quark-antiquark interaction. We also find a range of values for our parameters which fits exactly the Cornell potential parameters. In particular, setting the zero energy of the Cornell potential at 0.33 fermi, we find that κ=0.56 GeV and n=1.3.

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  "abstracts": [
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      "value": "In this work we calculate the static limit of the energy for a quark-antiquark pair from the Nambu-Goto action using a holographic approach with a deformed AdS space, with warp factor <math id=\"M1\"><mrow><mrow><mi>exp</mi></mrow><mo>\u2061</mo><mrow><mo>{</mo><mo>(</mo><mi>\u03ba</mi><mi>z</mi><msup><mrow><mo>)</mo></mrow><mrow><mi>n</mi></mrow></msup><mo>/</mo><mi>n</mi><mo>}</mo></mrow></mrow></math>. From this energy we derive the Cornell potential for the quark-antiquark interaction. We also find a range of values for our parameters which fits exactly the Cornell potential parameters. In particular, setting the zero energy of the Cornell potential at 0.33 fermi, we find that <math id=\"M2\"><mi>\u03ba</mi><mo>=</mo><mn>0.56</mn></math> GeV and <math id=\"M3\"><mi>n</mi><mo>=</mo><mn>1.3</mn></math>."
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Published on:
13 January 2019
Publisher:
Hindawi
Published in:
Advances in High Energy Physics (2019)

DOI:
https://doi.org/10.1155/2019/1901659
arXiv:
1806.05720v2
Copyrights:
Copyright © 2019 Rodrigo C. L. Bruni et al.
Licence:
CC-BY-3.0

Fulltext files: