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Equation of State of QCD at Finite Temperature and μ B = 0

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The Deconfinement Transition of QCD

Part of the book series: Lecture Notes in Physics ((LNP,volume 981))

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Abstract

In this chapter we discuss the main techniques to calculate the equation of state of QCD at finite temperature and μ B = 0 in lattice QCD. In particular, we describe the differential and integral methods. We also discuss the Stefan-Boltzmann ideal gas limit, as well as the comparison with perturbative QCD results. The most recent lattice QCD results are introduced and discussed.

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References

  1. Engels, J., Karsch, F., Satz, H., Montvay, I.: Nucl. Phys. B 205, 545–577 (1982)

    Article  ADS  Google Scholar 

  2. Deng, Y.: Nucl. Phys. B (Proc. Suppl.) 9, 334 (1989)

    Google Scholar 

  3. Gavai, R.V., Gupta, S., Mukherjee, S.: Pramana 71, 487–508 (2008)

    Article  ADS  Google Scholar 

  4. Mukherjee, S.: QCD Thermodynamics from Lattice Gauge Theory. Ph. D. Thesis, Tata Institute (2006).

    Google Scholar 

  5. Hasenfratz, A., Hasenfratz, P.: Nucl. Phys. B 193, 210 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  6. Engels, J., Fingberg, J., Karsch, F., Miller, D., Weber, M.: Phys. Lett. B 252, 625–630 (1990)

    Article  ADS  Google Scholar 

  7. Boyd, G., Engels, J., Karsch, F., Laermann, E., Legeland, C., Lutgemeier, M., Petersson, B.: Phys. Rev. Lett. 75, 4169–4172 (1995)

    Article  ADS  Google Scholar 

  8. Boyd, G., Engels, J., Karsch, F., Laermann, E., Legeland, C., Lutgemeier, M., Petersson, B.: Nucl. Phys. B 469, 419–444 (1996)

    Article  ADS  Google Scholar 

  9. Borsanyi, S., Endrodi, G., Fodor, Z., Katz, S.D., Szabo, K.K.: JHEP 1207, 056 (2012)

    Article  ADS  Google Scholar 

  10. Borsanyi, S., Endrodi, G., Fodor, Z., Jakovac, A., Katz, S.D., Krieg, S., Ratti, C., Szabo, K.K.: JHEP 1011, 077 (2010)

    Article  ADS  Google Scholar 

  11. Shuryak, E.V.: Sov. Phys. JETP 47, 212 (1978) [Zh. Eksp. Teor. Fiz. 74, 408 (1978)]

    Google Scholar 

  12. Kapusta, J.I., Nucl. Phys. B 148, 461 (1979).

    Article  ADS  Google Scholar 

  13. Toimela, T.: Int. J. Theor. Phys. 24, 901 (1985) Erratum: [Int. J. Theor. Phys. 26, 1021 (1987)]

    Google Scholar 

  14. Arnold, P.B., Zhai, C.X.: Phys. Rev. D 51, 1906 (1995)

    Article  ADS  Google Scholar 

  15. Braaten, E., Nieto, A.: Phys. Rev. Lett. 76, 1417 (1996)

    Article  ADS  Google Scholar 

  16. Braaten, E., Nieto, A.: Phys. Rev. D 53, 3421 (1996)

    Article  ADS  Google Scholar 

  17. Zhai, C.X., Kastening, B.M.: Phys. Rev. D 52, 7232 (1995)

    Article  ADS  Google Scholar 

  18. Kajantie, K., Laine, M., Rummukainen, K., Schroder, Y.: Phys. Rev. D 67, 105008 (2003)

    Article  ADS  Google Scholar 

  19. Braaten, E., Pisarski, R.D.: Phys. Rev. D 45(6), R1827 (1992)

    Article  ADS  Google Scholar 

  20. Andersen, J.O., Braaten, E., Petitgirard, E., Strickland, M.: Phys. Rev. D 66, 085016 (2002)

    Article  ADS  Google Scholar 

  21. Andersen, J.O., Petitgirard, E., Strickland, M.: Phys. Rev. D 70, 045001 (2004)

    Article  ADS  Google Scholar 

  22. Andersen, J.O., Strickland, M., Su, N.: Phys. Rev. Lett. 104, 122003 (2010)

    Article  ADS  Google Scholar 

  23. Andersen, J.O., Strickland, M., Su, N.: JHEP 1008, 113 (2010)

    Article  ADS  Google Scholar 

  24. Andersen, J.O., Leganger, L.E., Strickland, M., Su, N.: Phys. Lett. B 696, 468 (2011)

    Article  ADS  Google Scholar 

  25. Andersen, J.O., Leganger, L.E., Strickland, M., Su, N.: Phys. Rev. D 84, 087703 (2011)

    Article  ADS  Google Scholar 

  26. Andersen, J.O., Leganger, L.E., Strickland, M., Su, N.: JHEP 1108, 053 (2011)

    Article  ADS  Google Scholar 

  27. Chakraborty, P., Mustafa, M.G., Thoma, M.H.: Eur. Phys. J. C 23, 591 (2002)

    Article  ADS  Google Scholar 

  28. Chakraborty, P., Mustafa, M.G., Thoma, M.H.: Phys. Rev. D 68, 085012 (2003)

    Article  ADS  Google Scholar 

  29. Haque, N., Mustafa, M.G., Thoma, M.H.: Phys. Rev. D 84, 054009 (2011)

    Article  ADS  Google Scholar 

  30. Haque, N., Mustafa, M.G.: Nucl. Phys. A 862–863, 271 (2011)

    Article  ADS  Google Scholar 

  31. Haque, N., Mustafa, M.G.: arXiv:1007.2076 [hep-ph]

    Google Scholar 

  32. Andersen, J.O., Mogliacci, S., Su, N., Vuorinen, A.: Phys. Rev. D 87(7), 074003 (2013)

    Article  ADS  Google Scholar 

  33. Mogliacci, S., Andersen, J.O., Strickland, M., Su, N., Vuorinen, A.: JHEP 1312, 055 (2013)

    Article  ADS  Google Scholar 

  34. Haque, N., Mustafa, M.G., Strickland, M.: Phys. Rev. D 87(10), 105007 (2013)

    Article  ADS  Google Scholar 

  35. Haque, N., Mustafa, M.G., Strickland, M.: JHEP 1307, 184 (2013)

    Article  ADS  Google Scholar 

  36. Haque, N., Andersen, J.O., Mustafa, M.G., Strickland, M., Su, N.: Phys. Rev. D 89(6), 061701 (2014)

    Article  ADS  Google Scholar 

  37. Borsanyi, S., Fodor, Z., Hoelbling, C., Katz, S.D., Krieg, S., Szabo, K.K.: Phys. Lett. B 730, 99 (2014)

    Article  ADS  Google Scholar 

  38. Aoki, Y., Fodor, Z., Katz, S.D., Szabo, K.K.: JHEP 0601, 089 (2006)

    Article  ADS  Google Scholar 

  39. Bazavov, A., et al.: [HotQCD Collaboration] Phys. Rev. D 90, 094503 (2014)

    Google Scholar 

  40. Follana, E., et al.: [HPQCD and UKQCD Collaborations] Phys. Rev. D 75, 054502 (2007)

    Google Scholar 

  41. Laine, M., Schroder, Y.: Phys. Rev. D 73, 085009 (2006)

    Article  ADS  Google Scholar 

  42. Borsanyi, S., et al.: Nature 539(7627), 69 (2016)

    Article  ADS  Google Scholar 

  43. Asakawa, M., et al.: [FlowQCD Collaboration] Phys. Rev. D 90(1), 011501 (2014). Erratum: [Phys. Rev. D 92(5), 059902 (2015)]

    Google Scholar 

  44. Kanaya, K., Ejiri, S., Iwami, R., Kitazawa, M., Suzuki, H., Taniguchi, Y., Umeda, T., Wakabayashi, N.: PoS LATTICE 2016, 063 (2016)

    Google Scholar 

  45. Burger, F., et al.: [tmfT Collaboration] Phys. Rev. D 91(7), 074504 (2015)

    Google Scholar 

  46. Alba, P., Mantovani Sarti, V., Noronha, J., Noronha-Hostler, J., Parotto, P., Portillo Vazquez, I., Ratti, C.: Phys. Rev. C 98(3), 034909 (2018)

    Article  ADS  Google Scholar 

  47. Pratt, S., Sangaline, E., Sorensen, P., Wang, H.: Phys. Rev. Lett. 114, 202301 (2015)

    Article  ADS  Google Scholar 

  48. Bernhard, J.E., Moreland, J.S., Bass, S.A., Liu, J., Heinz, U.: Phys. Rev. C 94(2), 024907 (2016)

    Article  ADS  Google Scholar 

  49. Auvinen, J., Bernhard, J.E., Bass, S.A., Karpenko, I.: Phys. Rev. C 97(4), 044905 (2018)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, University of Houston, Houston, TX, USA

    Claudia Ratti

  2. Department of Texas, University of Houston, Houston, TX, USA

    Rene Bellwied

Authors
  1. Claudia Ratti
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  2. Rene Bellwied
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Ratti, C., Bellwied, R. (2021). Equation of State of QCD at Finite Temperature and μ B = 0. In: The Deconfinement Transition of QCD. Lecture Notes in Physics, vol 981. Springer, Cham. https://doi.org/10.1007/978-3-030-67235-5_3

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