Abstract
We study the highly non-perturbative hot region of the QCD phase diagram close to T c by use of an imaginary chemical potential µ which avoids the sign problem. The number density and the quark number susceptibility are consistent with a critical behaviour associated with the transition line in the negative µ2 halfplane. These results complement and extend the information obtained via the analysis of the susceptibilities evaluated at zero µ, yielding a simple description of the candidate strongly interacting QGP phase.
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References
E Shuryak [arXiv:hep-ph/0703208]
J P Blaizot Plenary talk at 19th International Conference on Ultra-Relativistic Nucleus-Nucleus Collisions: Quark Matter 2006 (QM2006), Shanghai, China [arXiv:hep-ph/0703150]
E V Shuryak and I Zahed Phys. Rev. D70 054507 (2004) [arXiv:hep-ph/0403127]
see e.g. K Splittorff and J J M Verbaarschot [arXiv:hep-lat/0702011] and references therein.
M-P Lombardo Nucl. Phys. (Proc. Suppl.) B83 375 (2000)
A Hart, M Laine and O Philipsen Nucl. Phys. B586 443 (2000); Phys. Lett. B505 141 (2001)
Ph. de Forcrand and O Philipsen Nucl. Phys. B642 290 (2002) [arXiv:hep-lat/0205016]
M D’Elia and M P Lombardo Phys. Rev. D67 014505 (2003) [arXiv:hep-lat/0209146]
V Azcoiti, G Di Carlo, A Galante and V Laliena Nucl. Phys. B723 77 (2005) [arXiv:hep-lat/0503010]
H S Chen and X Q Luo Phys. Rev. D72 034504 (2005) [arXiv:hep-lat/0411023]
L K Wu, X Q Luo and H S Chen [arXiv:hep-lat/0611035]
P Cea, L Cosmai, M D’Elia and A Papa JHEP 0702 066 (2007) [arXiv:hep-lat/0612018]
A Roberge and N Weiss Nucl. Phys. B275 734 (1986)
M D’Elia, F Di Renzo and M P Lombardo Phys. Rev. D76 114509 (2007)
M D’Elia and M P Lombardo Phys. Rev. D70 074509 (2004) [arXiv:hep-lat/0406012]
S Ejiri, F Karsch and K Redlich Phys. Lett. B633 275 (2006) [arXiv:hep-ph/0509051]
J Liao and E V Shuryak Phys. Rev. D73 014509 (2006) [arXiv:hep-ph/0510110]
M Bluhm, B Kampfer and G Soff Phys. Lett. B620 131 (2005) [arXiv:hep-ph/0411106]
S Gottlieb, W Liu, D Toussaint, R L Renken and R L Sugar Phys. Rev. D38 2888 (1988)
C Bernard et al, [MILC Collaboration] Nucl. Phys. Proc. Suppl. 119 (2003) 523 [arXiv:hep-lat/0209079]
R V Gavai and S Gupta Phys. Rev. D68 034506 (2003) [arXiv:hep-lat/0303013]
S Choe et al, Phys. Rev. D65 054501 (2002)
R Gavai, S Gupta and R Ray Prog. Theor. Phys. Suppl. 153 270 (2004) [arXiv:nucl-th/0312010]
C R Allton et al, Phys. Rev. D66 074507 (2002) [arXiv:hep-lat/0204010]
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D’Elia, M., Di Renzo, F. & Lombardo, M.P. Strongly interacting quark-gluon plasma and the critical behaviour of QCD at imaginary µ. Indian J Phys 85, 51–55 (2011). https://doi.org/10.1007/s12648-011-0017-7
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DOI: https://doi.org/10.1007/s12648-011-0017-7