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Dual QCD Formulation and Quark-Antiquark Static Potential

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Abstract

In order to explore the low energy behavior and the non-trivial dynamics of QCD, a dual gauge theory of QCD has been studied using its magnetic symmetry properties which takes into account not only the local structure but also the topological structure of a non-Abelian gauge symmetry into dynamics. As a result, the dynamical structure of the resulting dual QCD formulation and its flux tube structure have been investigated and the static inter-quark potential using the gluon propagator has been computed analytically that has been shown to have the linear and the Yukawa part which has been shown to reasonably fit with the corresponding phenomenological potential. The graphical representation clearly shows the dominance of the linear confinement over large hadronic distances in infrared regime of QCD and indicates towards the permanent confinement of the colored quarks inside the hadrons in the magnetically condensed QCD vacuum.

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References

  1. Y. Nambu, Phys. Rev. D 10, 4262 (1974)

    Article  ADS  Google Scholar 

  2. S. Mandelstam, Phys. Rep. 23, 245 (1976)

    Article  ADS  Google Scholar 

  3. G. ’t Hooft, in Proc. Eur. Phys. Soc. 1975 ed. by A. Zichichi (Ed. Comp. Bologna 1976)

    Google Scholar 

  4. G. ’t Hooft, Nucl. Phys. B 190, 455 (1981)

    Google Scholar 

  5. Y.M. Cho, Phys. Rev. D 21, 1080 (1980); ibid 23, 2415 (1981)

    Google Scholar 

  6. Y. Duan, M. Ge, Sci. Sin. 11, 1072 (1979)

    Google Scholar 

  7. L. Faddeev, A.J. Niemi, Phys. Rev. Lett. 82, 1624 (1999); L. Faddeev, A.J. Niemi, Nucl. Phys. B 776, 38 (2007)

    Google Scholar 

  8. S.V. Shabanov, Phys. Lett. B 458, 322 (1999); S.V. Shabanov. Phys. Lett. B 463, 263 (1999)

    Google Scholar 

  9. G. Ripka, arXiv:hep-ph/0310102v2. (2003)

  10. Y.M. Cho, F.H. Cho, J.H. Yoon, Phys. Rev. D 87, 085025 (2013)

    Article  ADS  Google Scholar 

  11. H.C. Pandey, H.C. Chandola, Phys. Lett. B 476, 193 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  12. H.C. Chandola, D. Yadav, H.C. Pandey, H. Dehnen, Int. J. Mod. Phys. A 20, 2743 (2005)

    Article  ADS  Google Scholar 

  13. Y.M. Cho, P.G.O. Freund, Phys. Rev. D 12, 1711 (1975)

    Article  ADS  Google Scholar 

  14. S. Coleman, J. Wess, B. Zumino, Phys. Rev. 177, 2238 (1969)

    Article  ADS  Google Scholar 

  15. S. Coleman, E. Weinberg, Phys. Rev. D 7, 1888 (1973)

    Article  ADS  Google Scholar 

  16. Y.M. Cho, W. Weinzierl, MPI report PAE/PTH 15/80

    Google Scholar 

  17. D. Zwanziger, Phys. Rev. D 3, 880 (1971)

    Article  ADS  MathSciNet  Google Scholar 

  18. H. Toki, H. Suganuma, Prog. Part. Nucl. Phys. 45, S397 (2000)

    Article  ADS  Google Scholar 

  19. K. Huang, Quarks, Leptons and Gauge Fields (World Scientific, Singapore, 1982)

    MATH  Google Scholar 

  20. E. Eichten et al. Phys. Rev. Lett. 34, 369 (1975); ibid 36, 500 (1976); Phys. Rev. D 17, 3090 (1978); ibid 21, 203 (1980)

    Google Scholar 

Download references

Acknowledgments

The authors are thankful to the organizers of XXI DAE-BRNS High Energy Physics (HEP) Symposium 2014 for their hospitality during the Symposium and the University Grants Commission, New Delhi for the financial support under project no. 41/840/2012(SR) during the course of the study.

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Correspondence to Garima Punetha .

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Punetha, G., Chandola, H.C. (2016). Dual QCD Formulation and Quark-Antiquark Static Potential. In: Bhuyan, B. (eds) XXI DAE-BRNS High Energy Physics Symposium. Springer Proceedings in Physics, vol 174. Springer, Cham. https://doi.org/10.1007/978-3-319-25619-1_8

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