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Advances in High Energy Physics
Volume 2019, Article ID 9450367, 9 pages
https://doi.org/10.1155/2019/9450367
Research Article

The (De)confinement Transition in Tachyonic Matter at Finite Temperature

1Departamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, 58429-900 Campina Grande, Paraíba, Brazil
2Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-970 João Pessoa, Paraíba, Brazil

Correspondence should be addressed to Francisco A. Brito; rb.ude.gcfu.fd@otirbaf

Received 14 December 2018; Accepted 10 February 2019; Published 27 February 2019

Guest Editor: Rafel Escribano

Copyright © 2019 Adamu Issifu and Francisco A. Brito. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Linked References

  1. E. Laermann and O. Philipsen, “Annual review of nuclear and particle science,” Annual Review, vol. 53, pp. 163–198, 2003. View at Google Scholar
  2. H. Suganuma, S. Sasaki, H. Toki, and H. Ichie, Progress of Theoretical Physics, vol. 120, pp. 57–74, 1995.
  3. Y. S. Kalashnikova and A. V. Nefediev, “Two-dimensional QCD in the Coulomb gauge,” Physics-Uspekhi, vol. 45, no. 4, pp. 347–368, 2002. View at Google Scholar
  4. Y. Sumino, “Connection between the perturbative QCD potential and phenomenological potentials,” Physical Review D, vol. 65, Article ID 054003, 2002. View at Publisher · View at Google Scholar
  5. P. Hasenfratz and J. Kuti, “The quark bag model,” Physics Reports, vol. 40, no. 2, pp. 75–179, 1978. View at Google Scholar
  6. T. D. Lee, Particle Physics, An Introduction to Field Theory, Routledge, New York, NY, USA, 1981.
  7. A. Chodos, R. L. Jaffe, K. Johnson, C. B. Thorn, and V. F. Weisskopf, “New extended model of hadrons,” Physical Review. D: Particles and Fields, vol. 9, no. 12, pp. 3471–3495, 1974. View at Publisher · View at Google Scholar · View at MathSciNet
  8. W. A. Bardeen, M. S. Chanowitz, S. D. Drell, M. Weinstein, and T.-M. Yan, “Heavy quarks and strong binding: a field theory of hadron structure,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 11, no. 5, pp. 1094–1136, 1975. View at Publisher · View at Google Scholar
  9. E. Eichten, K. Gottfried, T. Kinoshita, K. D. Lane, and T.-M. Yan, “Charmonium: The model,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 17, no. 11, pp. 3090–3117, 1978. View at Publisher · View at Google Scholar
  10. A. Schuh, H. J. Pirner, and L. Wilets, “Nucleon-nucleon scattering in the soliton bag model,” Physics Letters B, vol. 174, no. 1, pp. 10–14, 1986. View at Publisher · View at Google Scholar
  11. W. Koepf, L. Wilets, S. Pepin, and F. Stancu, “The nucleon-nucleon potential in the chromodielectric soliton model: statics,” Physical Review C: Nuclear Physics, vol. 50, no. 2, pp. 614–626, 1994. View at Publisher · View at Google Scholar
  12. E. I. Guendelman, “Strong interaction dynamics from spontaneous symmetry breaking of scale invariance,” Modern Physics Letters A, vol. 22, no. 17, pp. 1209–1215, 2007. View at Publisher · View at Google Scholar
  13. H. Reinhardt, “Dielectric function of the QCD vacuum,” Physical Review Letters, vol. 101, no. 6, Article ID 061602, 2008. View at Publisher · View at Google Scholar
  14. R. Dick, “Vector and scalar confinement in gauge theory with a dilaton,” Physics Letters. B. Particle Physics, Nuclear Physics and Cosmology, vol. 409, no. 1-4, pp. 321–324, 1997. View at Publisher · View at Google Scholar · View at MathSciNet
  15. A. Sen, “Tachyon matter,” Journal of High Energy Physics, vol. 2002, no. 07, article 065, 2002. View at Publisher · View at Google Scholar
  16. A. Sen, “Rolling tachyon,” Journal of High Energy Physics, vol. 202, no. 04, article 048, 2002. View at Publisher · View at Google Scholar
  17. D. Bazeia, F. A. Brito, W. Freire, and R. F. Ribeiro, “Confining potential in a color dielectric medium with parallel domain walls,” International Journal of Modern Physics A, vol. 18, no. 30, pp. 5627–5636, 2003. View at Publisher · View at Google Scholar
  18. F. A. Brito, M. L. Freire, and W. Serafim, “Confinement and screening in tachyonic matter,” The European Physical Journal C, vol. 74, no. 12, Article ID 3202, 2014. View at Publisher · View at Google Scholar
  19. C. P. Herzog, “A holographic prediction of the deconfinement temperature,” Physical Review Letters, vol. 98, Article ID 091601, 2007. View at Publisher · View at Google Scholar
  20. H. Boschi-Filho, N. R. Braga, and C. N. Ferreira, “Heavy quark potential at finite temperature from gauge-string duality,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 74, no. 8, Article ID 086001, 2006. View at Google Scholar
  21. O. Andreev and V. I. Zakharov, “The spatial string tension, thermal phase transition, and AdS/QCD,” Physics Letters B, vol. 645, no. 5-6, pp. 437–441, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  22. O. Kaczmarek, F. Karsch, E. Laermann, and M. Lütgemeier, “Heavy quark potentials in quenched QCD at high temperature,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 62, no. 3, Article ID 034021, 2000. View at Publisher · View at Google Scholar
  23. E. Laermann, C. DeTar, O. Kaczmarek, and F. Karsch, “String breaking in lattice QCD,” Nuclear Physics B - Proceedings Supplements, vol. 44, no. 1-3, pp. 447–449, 1999. View at Google Scholar
  24. L. Wilets, Non Topological Solutions, World Scientific, Singapore, 1998.
  25. T. D. Lee, Particle Physics and Introduction to Field Theory, Harwood Academic, New York, NY, USA, 1981. View at MathSciNet
  26. H. Shiba and T. Suzuki, “Monopoles and string tension in SU(2) QCD,” Physics Letters B, vol. 333, pp. 461–466, 1994. View at Publisher · View at Google Scholar
  27. G. S. Bali, V. Bornyakov, M. Müller-Preussker, and K. Schilling, “Dual superconductor scenario of confinement: a systematic study of Gribov copy effects,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 54, no. 4, article 2863, 1996. View at Publisher · View at Google Scholar
  28. E. Eichten, K. Gottfried, T. Kinoshita, J. Kogut, K. D. Lane, and T.-M. Yan, “Spectrum of charmed quark-antiquark bound states,” Physical Review Letters, vol. 34, no. 6, pp. 369–372, 1975. View at Publisher · View at Google Scholar
  29. R. Friedberg and T. D. Lee, “QCD and the Soliton Model of Hadrons,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 18, p. 2623, 1978. View at Google Scholar
  30. K. Hotta, “Brane-antibrane systems at finite temperature and phase transition near the hagedorn temperature,” Journal of High Energy Physics, vol. 2002, no. 12, article 072, 2002. View at Publisher · View at Google Scholar
  31. O. Bergman, K. Hori, and P. Yi, “Confinement on the brane,” Nuclear Physics B, vol. 580, pp. 289–310, 2000. View at Google Scholar
  32. S. Mandelstam, “Vortices and quark confinement in non-Abelian gauge theories,” Physics Reports, vol. 23, no. 3, pp. 245–249, 1976. View at Google Scholar
  33. G. 't Hooft, “High Energy Physics,” in Proceedings of the European Physics Society International Conference, Palermo, June, 1975, A. Zichichi, Ed., Editrice Compositori, Bologna, Italy, 1976. View at Google Scholar
  34. N. Seiberg and E. Witten, “Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory,” Nuclear Physics B, vol. 426, no. 1, pp. 19–52, 1994. View at Google Scholar
  35. A. Sen, “Tachyon condensation on the brane antibrane system,” Journal of High Energy Physics, vol. 1998, 1998. View at Google Scholar
  36. M. Cvetic and A. A. Tseytlin, “Charged string solutions with dilaton and modulus fields,” Nuclear Physics B, vol. 137, p. 416, 1994. View at Google Scholar
  37. L. Dolan and R. Jackiw, “Symmetry behavior at finite temperature,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 9, no. 12, pp. 3320–3341, 1974. View at Publisher · View at Google Scholar · View at Scopus
  38. S. Weinberg, “Gauge and global symmetries at high temperature,” Physical Review D: Covering Particles, Fields, Gravitation, and Cosmology, vol. 9, no. 12, article 3357, 1974. View at Google Scholar
  39. D. Bazeia, F. A. Brito, W. Freire, and R. F. Ribeiro, “Confinement from new global defect structures,” The European Physical Journal C - Particles and Fields, vol. 40, no. 4, pp. 531–537, 2005. View at Publisher · View at Google Scholar
  40. M. A. Shffman, A. I. Vainshtein, and V. I. Zakharov, “QCD and resonance physics. Theoretical foundations,” Nuclear Physics B, vol. 147, pp. 385–447, 1979. View at Google Scholar
  41. D. Kharzeev, E. Levin, and K. Tuchin, “Classical gluodynamics in curved space–time and the soft pomeron,” Physics Letters B, vol. 574, no. 1-2, pp. 21–30, 2002. View at Google Scholar
  42. A. A. Migdal and M. A. Shifman, “Dilaton effective lagrangian in gluodynamics,” Physics Letters B, vol. 114, no. 6, pp. 445–449, 1982. View at Google Scholar
  43. B. Zwiebach, A First Course in String Theory, Cambridge University Press, Cambridge, UK, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  44. R. Dick, “Confinement from a scalar-gluon coupling in gauge theory,” European Physical Journal C, vol. 701, 1999. View at Google Scholar
  45. W. Ochs, “The status of glueballs,” Journal of Physics G: Nuclear and Particle Physics, vol. 40, no. 4, Article ID 043001, 2013. View at Google Scholar
  46. S. L. Olsen, “Hyperfine interactions,” QCD exotics, vol. 229, no. 1-3, pp. 7–20, 2014. View at Google Scholar
  47. D. Parganlija, “Mesons, PANDA and the scalar glueball,” Journal of Physics: Conference Series, vol. 503, 2013. View at Publisher · View at Google Scholar
  48. A. Zhang, “Mass of scalar glueball,” International Journal of Modern Physics: Conference Series, vol. 29, p. 1460240, 2014. View at Publisher · View at Google Scholar
  49. M. Rosina, A. Schuh, and H. J. Pirner, “Lattice QCD and the soliton bag model,” Nuclear Physics A, vol. 448, no. 4, pp. 557–566, 1986. View at Publisher · View at Google Scholar
  50. N. Ishii, H. Suganuma, and H. Matsufuru, “Scalar glueball mass reduction at finite temperature in SU(3) anisotropic lattice QCD,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 66, no. 1, Article ID 014507, 2002. View at Google Scholar
  51. M. Caselle and R. Pellegrini, “Finite-temperature behavior of glueballs in lattice gauge theories,” Physical Review Letters, vol. 111, no. 13, Article ID 132001, 2013. View at Publisher · View at Google Scholar
  52. H. J. Rothe, Lattice Gauge Theories, World Science, 1992.
  53. M. Creutz, Quark, Gluon and Lattices, Cambridge Press, 1983.
  54. V. A. Miransky, Dynamic Symmetry Breaking in Quantum Field Theories, World Scientific, 1993. View at MathSciNet