Abstract
We extend the work of two-loop correction in the mean-field potential to study the thermodynamical properties of quark–gluon plasma (QGP). In the study, we look forward to determine bulk thermodynamic properties like pressure, entropy density, specific heat, quark number density, quark number fluctuations and speed of sound. The determinations are shown in figures and the figures are found almost similarly enhanced to our earlier results of one-loop correction. It means that the model with the inclusion of two-loop corrections can provide the entire thermodynamic information about the phase structure of QCD and the parameter used in the loop correction plays a pivotal role in forming stable droplets having less effect to calculate all the thermodynamical parameters. Still, the result can be considered in presenting QGP phase structure as it shows its representation within the range of standard thermodynamic properties and enhance the energy density and pressure from the lattice result.
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References
P Romatschke and U Romatschke, Phys. Rev. Lett. 99, 172301 (2007)
B Schenke, S Jeon and C Gale, Phys. Rev. C 82, 014903 (2010)
A Tawfik, Phys. Rev. D 71, 054502 (2005)
E Karch, A Peikert and E Laermann, Nucl. Phys. B 605, 579 (2001).
Bh Jarwal and S Somorendro Singh, Mod. Phys. Lett. A 32, 1750037 (2017)
Bh Jarwal and S Somorendro Singh, Sprig. Proc. Phys. 190, 789 (2018)
E Shurayak, Universe 3, 85 (2017)
C Aidala et al, Phys. Rev. C 96, 064905 (2017)
BRAHMS Collaboration: I Arsene et al, Nucl. Phys. A 757, 1 (2005)
PHOBOS Collaboration: B B Back et al, Nucl. Phys. A 757, 28 (2005)
STAR Collaboration: J Adams et al, Nucl. Phys. A 757 102 (2005)
PHENIX Collaboration: K Adcox et al, Nucl. Phys. A 757, 184 (2005)
M G Mustafa, D K Srivastava and B Sinha, Eur. J. Phys. C 5, 711 (1998)
F Karsch, E Laermann, A Peikert, Ch Schmidt and S Stickan, Nucl. Phys. B 94, 411 (2001)
F Karsch and H Satz, Nucl. Phys. A 702, 373 (2002)
S S Singh and G Saxena, Pramana – J. Phys. 92, 69 (2019)
S S Singh and R Ramanathan, Ind. J. Phys. 92(2), 245 (2018)
S S Singh and R Ramanathan, Prog. Theo. Expt. Phys. 103D02 (2014)
R Ramanathan, Y K Mathur, K K Gupta and A K Jha, Phys. Rev. C 70, 027903 (2004)
N Brambilla, A Pineda, J Soto and A Vairo, Phys. Rev. D 63, 014023 (2001)
K Melnikov and A Yelkhovsky, Nucl. Phys. B 528, 59 (1998)
A H Hoang, Phys. Rev. D 59, 014039 (1999)
W Fischler, Nucl. Phys. B 129, 157 (1977)
A Billoire, Phys. Lett B 92, 343 (1980)
A V Smirnov, V A Smirnov and M Steinhauser, Phys. Lett. B 668, 239 (2008)
A V Smirnov, V A Smirnov and M Steinhauser, Phys. Rev. Lett. 104, 112002 (2010)
H Satz, Ann. Rev. Nucl. Part. Sci. 35, 245 (1985)
G Neergaad and J Madsen, Phys. Rev. D 60, 05404 (1999)
R Ramanathan, K K Gupta, A K Jha and S S Singh, Pramana – J. Phys. 68, 757 (2007)
S S Singh, D S Gosain, Y Kumar and A K Jha, Pramana– J. Phys. 74, 27 (2010)
S S Singh and G Saxena, Pramana – J. Phys. 88, 85 (2017)
S S Singh, K K Gupta and A K Jha, Int. J. Mod. Phys. A 29, 1550092 (2014)
A K Jha, S S Singh and K K Gupta, Proc. Ind. Natl. Sci. Acad. 81, 174 (2015)
A N Tawfic and E A El Dahab, Int. J. Mod. Phys. A 30, 1550030 (2015)
P P Pradhan, Int. J. Mod. Phys. D 26(2), 1792001 (2017)
R V Gavai, S Gupta and S Mukherjee, Pramana – J. Phys. 71, 487 (2008)
S Gottlieb, W Lin, D Toussaint, R L Renken and R L Singar, Phys. Rev. Lett. 59, 2247 (1987)
Y Aoki, G Endrödi, Z Fodor, S D Katz and K K Szabó, Nature 443, 675 (2006)
C Sasaki, B Friman and K Redlich, Phys. Rev. D 75, 074013 (2007)
A Vuorinen, Phys. Rev. D 67, 074032 (2003)
S Borsányi, Nucl. Phys. A 904–905, 270c (2013)
Th Graf, J S Bielich and E S Fraga, hep-ph arXiv:1507.08941v1
C Ratti, S Röbner and W Weise, Phys. Lett. B 649, 57 (2007)
D S Gosain and S S Singh, Int. J. Theor. Phys. 53, 2688 (2014)
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The authors are thankful to R Ramanathan for his untiring discussion in preparing the manuscript and for critical reading of the manuscript.
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Chothe, H.R., Saxena, G. & Somorendro Singh, S. Evaluation of bulk thermodynamical properties of QGP with two-loop corrections in the potential. Pramana - J Phys 95, 147 (2021). https://doi.org/10.1007/s12043-021-02186-x
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DOI: https://doi.org/10.1007/s12043-021-02186-x