- Letter
- Open Access
QCD pressure: Renormalization group optimized perturbation theory confronts lattice
Phys. Rev. D 104, L031502 – Published 24 August, 2021
DOI: https://doi.org/10.1103/PhysRevD.104.L031502
Abstract
The quark contribution to the QCD pressure, , is evaluated up to next-to-leading order (NLO) within the renormalization group optimized perturbation theory (RGOPT) resummation approach. To evaluate the complete QCD pressure we simply add the perturbative NLO contribution from massless gluons to the resummed . Despite this unsophisticated approximation our results for at the central scale show a remarkable agreement with lattice predictions for . We also show that by being imbued with RG properties, the RGOPT produces a drastic reduction of the embarrassing remnant scale dependence that plagues both standard thermal perturbative QCD and hard thermal loop perturbation theory applications.
Physics Subject Headings (PhySH)
See Also
Renormalization group improved pressure for hot and dense quark matter
Article Text
References (45)
- Y. Aoki, G. Endrodi, Z. Fodor, S. D. Katz, and K. K. Szabo, Nature (London) 443, 675 (2006); Y. Aoki, S. Borsanyi, S. Durr, Z. Fodor, S. D. Katz, S. Krieg, and K. K. Szabo, J. High Energy Phys. 06 (2009) 088; S. Borsanyi, Z. Fodor, C. Hoelbling, S. D. Katz, S. Krieg, C. Ratti, and K. K. Szabó (Wuppertal-Budapest Collaboration), J. High Energy Phys. 09 (2010) 073; A. Bazavov, T. Bhattacharya, M. Cheng, C. DeTar, H. T. Ding, S. Gottlieb, R. Gupta, P. Hegde, U. M. Heller, F. Karsch et al., Phys. Rev. D 85, 054503 (2012).
- M. Buballa, Phys. Rep. 407, 205 (2005).
- P. de Forcrand, Proc. Sci., LAT2009 (2009) 010 [arXiv:1005.0539]; G. Aarts, J. Phys. Conf. Ser. 706, 022004 (2016).
- P. Costa, M. C. Ruivo, and C. A. de Sousa, Phys. Rev. D 77, 096001 (2008).
- K. Fukushima, Phys. Lett. B 591, 277 (2004).
- P. Costa, M. C. Ruivo, C. A. de Sousa, and H. Hansen, Symmetry 2, 1338 (2010).
- C. D. Roberts and S. M. Schmidt, Prog. Part. Nucl. Phys. 45, S1 (2000).
- C. S. Fischer, Prog. Part. Nucl. Phys. 105, 1 (2019).
- W.-J. Fu, J. M. Pawlowski, and F. Rennecke, Phys. Rev. D 101, 054032 (2020); F. Gao and J. M. Pawlowski, 102, 034027 (2020).
- J. Maelger, U. Reinosa, and J. Serreau, Phys. Rev. D 97, 074027 (2018).
- P. Blaizot, E. Iancu, and A. Rebhan, in Thermodynamics of the High Temperature Quark Gluon Plasma, edited by R. C. Hwa and X.-N. Wang, Advanced Series on Directions in High Energy Physics Vol. 6 (World Scientific, Singapore, 2003), p. 60; U. Kraemmer and A. Rebhan, Rep. Prog. Phys. 67, 351 (2004).
- M. Laine and A. Vuorinen, Lect. Notes Phys. 925, 1 (2016).
- J. Ghiglieri, A. Kurkela, M. Strickland, and A. Vuorinen, Phys. Rep. 880, 1 (2020).
- A. D. Linde, Phys. Lett. 96B, 289 (1980).
- P. M. Stevenson, Phys. Rev. D 23, 2916 (1981); Nucl. Phys. B203, 472 (1982).
- A. Okopinska, Phys. Rev. D 35, 1835 (1987).
- H. Yamada, Z. Phys. C 59, 67 (1993).
- A. Duncan and M. Moshe, Phys. Lett. B 215, 352 (1988); H. F. Jones and M. Moshe, 234, 492 (1990).
- R. P. Feynman and H. Kleinert, Phys. Rev. A 34, 5080 (1986); H. Kleinert, Phys. Rev. D 57, 2264 (1998); Phys. Lett. B 434, 74 (1998); Phys. Rev. D 60, 085001 (1999); Mod. Phys. Lett. B 17, 1011 (2003).
- F. Karsch, A. Patkos, and P. Petreczky, Phys. Lett. B 401, 69 (1997); S. Chiku and T. Hatsuda, Phys. Rev. D 58, 076001 (1998); J. O. Andersen, E. Braaten, and M. Strickland, Phys. Rev. D 63, 105008 (2001); J. O. Andersen and M. Strickland, Phys. Rev. D 64, 105012 (2001); Ann. Phys. (Amsterdam) 317, 281 (2005).
- J. O. Andersen and L. Kyllingstad, Phys. Rev. D 78, 076008 (2008).
- E. Braaten and R. D. Pisarski, Phys. Rev. D 45, R1827 (1992).
- J. O. Andersen, E. Braaten, and M. Strickland, Phys. Rev. Lett. 83, 2139 (1999); Phys. Rev. D 61, 074016 (2000).
- J. O. Andersen, M. Strickland, and N. Su, Phys. Rev. Lett. 104, 122003 (2010); J. High Energy Phys. 08 (2010) 113.
- N. Haque, M. G. Mustafa, and M. Strickland, Phys. Rev. D 87, 105007 (2013).
- J. O. Andersen, L. E. Leganger, M. Strickland, and N. Su, J. High Energy Phys. 08 (2011) 053; S. Mogliacci, J. O. Andersen, M. Strickland, N. Su, and A. Vuorinen, J. High Energy Phys. 12 (2013) 055; N. Haque, J. O. Andersen, M. G. Mustafa, M. Strickland, and N. Su, Phys. Rev. D 89, 061701 (2014).
- N. Haque, A. Bandyopadhyay, J. O. Andersen, M. G. Mustafa, M. Strickland, and N. Su, J. High Energy Phys. 05 (2014) 027.
- K. Kajantie, M. Laine, K. Rummukainen, and Y. Schroder, Phys. Rev. D 67, 105008 (2003).
- A. Vuorinen, Phys. Rev. D 68, 054017 (2003).
- J. L. Kneur and M. B. Pinto, Phys. Rev. D 92, 116008 (2015).
- J. L. Kneur and M. B. Pinto, Phys. Rev. Lett. 116, 031601 (2016).
- J. L. Kneur and A. Neveu, Phys. Rev. D 81, 125012 (2010).
- J. L. Kneur and A. Neveu, Phys. Rev. D 88, 074025 (2013).
- M. Tanabashi et al. (Particle Data Group), Phys. Rev. D 98, 030001 (2018).
- J. L. Kneur and A. Neveu, Phys. Rev. D 92, 074027 (2015).
- J. L. Kneur and A. Neveu, Phys. Rev. D 101, 074009 (2020).
- J. L. Kneur and M. B. Pinto (to be published).
- J. L. Kneur, M. B. Pinto, and T. E. Restrepo, Phys. Rev. D 100, 114006 (2019).
- J. L. Kneur, M. B. Pinto, and T. E. Restrepo, Phys. Rev. D 104, 034003 (2021) [arXiv:2101.08240].
- J. I. Kapusta and C. Gale, Finite-Temperature Field Theory: Principles and Applications (Cambridge University Press, Cambridge, England, 2006).
- M. Laine and Y. Schröder, Phys. Rev. D 73, 085009 (2006).
- E. V. Shuryak, Sov. Phys. JETP 47, 212 (1978); S. A. Chin, Phys. Lett. B 78, 552 (1978).
- S. Borsanyi, G. Endrodi, Z. Fodor, A. Jakovac, S. D. Katz, S. Krieg, C. Ratti, and K. K. Szabo, J. High Energy Phys. 11 (2010) 077.
- S. Borsanyi, Z. Fodor, C. Hoelbling, S. D. Katz, S. Krieg, and K. K. Szabo, Phys. Lett. B 730, 99 (2014).
- A. Bazavov, P. Petreczky, and J. H. Weber, Phys. Rev. D 97, 014510 (2018).