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Advances in High Energy Physics
Volume 2017 (2017), Article ID 4135329, 7 pages
https://doi.org/10.1155/2017/4135329
Research Article

Chiral Phase Transition in Linear Sigma Model with Nonextensive Statistical Mechanics

Key Laboratory of Quark & Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China

Correspondence should be addressed to Ben-Wei Zhang; nc.ude.uncc.liam@gnahzwb

Received 9 September 2017; Accepted 7 November 2017; Published 29 November 2017

Academic Editor: Edward Sarkisyan-Grinbaum

Copyright © 2017 Ke-Ming Shen et al. 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. A. Bazavov, H.-T. Ding, P. Hegde et al., “QCD Equation of State to from Lattice QCD,” Physical Review D, vol. 95, article 054504, 2017. View at Google Scholar
  2. H. Reinhardt and P. Vastag, “Chiral and deconfinement phase transition in the Hamiltonian approach to QCD in Coulomb gauge,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 94, no. 10, 2016. View at Publisher · View at Google Scholar
  3. R. A. Lacey, “Indications for a critical end point in the phase diagram for hot and dense nuclear matter,” Physical Review Letters, vol. 114, article 142301, 2015. View at Publisher · View at Google Scholar
  4. P. Braun-Munzinger and J. Wambach, “Colloquium: Phase diagram of strongly interacting matter,” Reviews of Modern Physics, vol. 81, no. 3, pp. 1031–1050, 2009. View at Publisher · View at Google Scholar · View at Scopus
  5. C. S. Fischer, J. Luecker, and C. A. Welzbacher, “Locating the critical end point of QCD,” Nuclear Physics A, vol. 931, pp. 774–779, 2014. View at Publisher · View at Google Scholar · View at Scopus
  6. J. Randrup, “Phase transition dynamics for baryon-dense matter,” Physical Review C: Nuclear Physics, vol. 79, no. 5, 2009. View at Publisher · View at Google Scholar
  7. M. Gyulassy and L. McLerran, “New forms of QCD matter discovered at RHIC,” Nuclear Physics A, vol. 750, no. 1, pp. 30–63, 2005. View at Publisher · View at Google Scholar · View at Scopus
  8. M. Abu-Shady and H. M. Mansour, “Quantized linear,” Physical Review C: Nuclear Physics, vol. 85, no. 5, 2012. View at Publisher · View at Google Scholar
  9. P. de Forcrand, “Simulating QCD at finite density,” PoS LAT, vol. 010, 2009. View at Google Scholar
  10. M. Stephanov, K. Rajagopal, and E. Shuryak, “Signatures of the tricritical point in QCD,” Physical Review Letters, vol. 81, no. 22, pp. 4816–4819, 1998. View at Publisher · View at Google Scholar · View at Scopus
  11. C. Tsallis, “Possible generalization of Boltzmann-Gibbs statistics,” Journal of Statistical Physics, vol. 52, no. 1-2, pp. 479–487, 1988. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  12. Lists of many applications of non-extensive statistics are available at http://tsallis.cat.cbpf.br/biblio.htm.
  13. M. Ishihara, “Effects of the Tsallis distribution in the linear sigma model,” International Journal of Modern Physics E, vol. 24, article 1550085, 2015. View at Google Scholar
  14. M. Ishihara, “Chiral phase transitions in the linear sigma model in the Tsallis nonextensive statistics,” International Journal of Modern Physics E, vol. 25, article 1650066, 2016. View at Google Scholar
  15. O. Scavenius, Á. Mócsy, I. N. Mishustin, and D. H. Rischke, “Chiral phase transition within effective models with constituent quarks,” Physical Review C, vol. 64, article 045202, 2001. View at Google Scholar
  16. J. Rozynek and G. Wilk, “Nonextensive effects in the Nambu–Jona-Lasinio model of QCD,” Journal of Physics G: Nuclear and Particle Physics, vol. 36, article 125108, 2009. View at Google Scholar
  17. J. Rozynek and G. Wilk, “Nonextensive Nambu-Jona-Lasinio Model of QCD matter,” The European Physical Journal A, vol. 52, no. 13, 2016. View at Google Scholar
  18. M. C. Birse and M. K. Banerjee, “A chiral soliton model of nucleon and delta,” Physics Letters B, vol. 136, no. 4, pp. 284–288, 1984. View at Publisher · View at Google Scholar · View at Scopus
  19. M. C. Birse and M. K. Banerjee, “Chiral model for nucleon and delta,” Physical Review D: Particles, Fields, Gravitation and Cosmology, vol. 31, no. 1, pp. 118–127, 1985. View at Publisher · View at Google Scholar · View at Scopus
  20. E. K. Lenzi, L. C. Malacarne, and R. S. Mendes, “Perturbation and variational methods in nonextensive tsallis statistics,” Physical Review Letters, vol. 80, no. 2, pp. 218–221, 1998. View at Publisher · View at Google Scholar · View at Scopus
  21. C. Beck, “Dynamical foundations of nonextensive statistical mechanics,” Physical Review Letters, vol. 87, no. 18, article 180601, 2001. View at Google Scholar · View at MathSciNet
  22. F. D. Nobre, M. A. Rego-Monteiro, and C. Tsallis, “Nonlinear relativistic and quantum equations with a common type of solution,” Physical Review Letters, vol. 106, no. 14, article 140601, 2011. View at Publisher · View at Google Scholar
  23. T. S. Biro and G. Purcsel, “Non-extensive Boltzmann equation and hadronization,” Physical Review Letters, vol. 95, article 162302, 2005. View at Publisher · View at Google Scholar
  24. F. I. Pereira, R. Silva, and J. S. Alcaniz, “Nonextensive effects on the relativistic nuclear equation of state,” Physical Review C: Nuclear Physics, vol. 76, no. 1, 2007. View at Publisher · View at Google Scholar
  25. B. Liu and J. Goree, “Superdiffusion and Non-Gaussian Statistics in a Driven-Dissipative 2D Dusty Plasma,” Physical Review Letters, vol. 100, no. 5, 2008. View at Publisher · View at Google Scholar
  26. T. S. Biró and E. Molnár, “Fluid dynamical equations and transport coefficients of relativistic gases with non-extensive statistics,” Physical Review C: Nuclear Physics, vol. 85, no. 2, 2012. View at Publisher · View at Google Scholar
  27. C. Tsallis, Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World, Springer, New York, NY, USA, 2009.
  28. L. P. Csernai, A. Mocsy, and I. N. Mishustin, “Microscopic model for rapid hadronization of supercooled Quark-Gluon Plasma,” Heavy Ion Physics, vol. 3, no. 151, 1996. View at Google Scholar