Fluctuations of conserved charges at finite temperature from lattice QCD. (English) Zbl 1306.81368
Summary: We present the full results of the Wuppertal-Budapest lattice QCD collaboration on flavor diagonal and non-diagonal quark number susceptibilities with 2 + 1 staggered quark flavors, in a temperature range between 125 and 400 MeV. The light and strange quark masses are set to their physical values. Lattices with \(N_{t} = 6, 8, 10, 12, 16\) are used. We perform a continuum extrapolation of all observables under study. A Symanzik improved gauge and a stout-link improved staggered fermion action is utilized. All results are compared to the Hadron Resonance Gas model predictions: good agreement is found in the temperature region below the transition.
MSC:
| 81V15 | Weak interaction in quantum theory |
| 81T25 | Quantum field theory on lattices |
| 81T28 | Thermal quantum field theory |
| 81R05 | Finite-dimensional groups and algebras motivated by physics and their representations |
References:
| [1] | Y. Aoki, G. Endrodi, Z. Fodor, S. Katz and K. Szabo, The order of the quantum chromodynamics transition predicted by the standard model of particle physics, Nature443 (2006) 675 [hep-lat/0611014] [INSPIRE]. · doi:10.1038/nature05120 |
| [2] | A. Bazavov et al., The chiral and deconfinement aspects of the QCD transition, arXiv:1111.1710 [INSPIRE]. · Zbl 1502.65042 |
| [3] | S. Jeon and V. Koch, Charged particle ratio fluctuation as a signal for QGP, Phys. Rev. Lett.85 (2000) 2076 [hep-ph/0003168] [INSPIRE]. · doi:10.1103/PhysRevLett.85.2076 |
| [4] | M. Asakawa, U.W. Heinz and B. Müller, Fluctuation probes of quark deconfinement, Phys. Rev. Lett.85 (2000) 2072 [hep-ph/0003169] [INSPIRE]. · doi:10.1103/PhysRevLett.85.2072 |
| [5] | S.A. Gottlieb, W. Liu, D. Toussaint, R. Renken and R. Sugar, The quark number susceptibility of high temperature QCD, Phys. Rev. Lett.59 (1987) 2247 [INSPIRE]. · doi:10.1103/PhysRevLett.59.2247 |
| [6] | S.A. Gottlieb, W. Liu, D. Toussaint, R. Renken and R. Sugar, Fermion number susceptibility in lattice gauge theory, Phys. Rev.D 38 (1988) 2888. |
| [7] | R. Gavai, J. Potvin and S. Sanielevici, Quark number susceptibility in quenched quantum chromodynamics, Phys. Rev.D 40 (1989) 2743 [INSPIRE]. |
| [8] | L.D. McLerran, A chiral symmetry order parameter, the lattice and nucleosynthesis, Phys. Rev.D 36 (1987) 3291 [INSPIRE]. |
| [9] | R. Dashen, S.-K. Ma and H.J. Bernstein, S matrix formulation of statistical mechanics, Phys. Rev.187 (1969) 345 [INSPIRE]. · Zbl 0186.28601 · doi:10.1103/PhysRev.187.345 |
| [10] | R. Venugopalan and M. Prakash, Thermal properties of interacting hadrons, Nucl. Phys.A 546 (1992) 718 [INSPIRE]. |
| [11] | F. Karsch, K. Redlich and A. Tawfik, Hadron resonance mass spectrum and lattice QCD thermodynamics, Eur. Phys. J.C 29 (2003) 549 [hep-ph/0303108] [INSPIRE]. · Zbl 1099.81564 · doi:10.1140/epjc/s2003-01228-y |
| [12] | F. Karsch, K. Redlich and A. Tawfik, Thermodynamics at nonzero baryon number density: a comparison of lattice and hadron resonance gas model calculations, Phys. Lett.B 571 (2003) 67 [hep-ph/0306208] [INSPIRE]. · Zbl 1094.81568 |
| [13] | A. Tawfik, QCD phase diagram: a comparison of lattice and hadron resonance gas model calculations, Phys. Rev.D 71 (2005) 054502 [hep-ph/0412336] [INSPIRE]. |
| [14] | J. Blaizot, E. Iancu and A. Rebhan, Quark number susceptibilities from HTL resummed thermodynamics, Phys. Lett.B 523 (2001) 143 [hep-ph/0110369] [INSPIRE]. |
| [15] | C. Ratti, R. Bellwied, M. Cristoforetti and M. Barbaro, Are there hadronic bound states above the QCD transition temperature?, arXiv:1109.6243 [INSPIRE]. |
| [16] | V. Koch, A. Majumder and J. Randrup, Baryon-strangeness correlations: a diagnostic of strongly interacting matter, Phys. Rev. Lett.95 (2005) 182301 [nucl-th/0505052] [INSPIRE]. · doi:10.1103/PhysRevLett.95.182301 |
| [17] | R.V. Gavai, S. Gupta and P. Majumdar, Susceptibilities and screening masses in two flavor QCD, Phys. Rev.D 65 (2002) 054506 [hep-lat/0110032] [INSPIRE]. |
| [18] | C. Allton et al., The QCD thermal phase transition in the presence of a small chemical potential, Phys. Rev.D 66 (2002) 074507 [hep-lat/0204010] [INSPIRE]. |
| [19] | C. Allton et al., The equation of state for two flavor QCD at nonzero chemical potential, Phys. Rev.D 68 (2003) 014507 [hep-lat/0305007] [INSPIRE]. |
| [20] | C. Allton, et al., Thermodynamics of two flavor QCD to sixth order in quark chemical potential, Phys. Rev.D 71 (2005) 054508 [hep-lat/0501030] [INSPIRE]. |
| [21] | R. Gavai and S. Gupta, Simple patterns for non-linear susceptibilities near Tc, Phys. Rev.D 72 (2005) 054006 [hep-lat/0507023] [INSPIRE]. |
| [22] | S. Ejiri, F. Karsch and K. Redlich, Hadronic fluctuations at the QCD phase transition, Phys. Lett.B 633 (2006) 275 [hep-ph/0509051] [INSPIRE]. |
| [23] | R. Gavai and S. Gupta, Fluctuations, strangeness and quasi-quarks in heavy-ion collisions from lattice QCD, Phys. Rev.D 73 (2006) 014004 [hep-lat/0510044] [INSPIRE]. |
| [24] | M. Cheng et al., Baryon number, strangeness and electric charge fluctuations in QCD at high temperature, Phys. Rev.D 79 (2009) 074505 [arXiv:0811.1006] [INSPIRE]. |
| [25] | A. Bazavov et al., Equation of state and QCD transition at finite temperature, Phys. Rev.D 80 (2009) 014504 [arXiv:0903.4379] [INSPIRE]. |
| [26] | Wuppertal-Budapest collaboration, S. Borsányi et al., Is there still any Tcmystery in lattice QCD? Results with physical masses in the continuum limit III, JHEP09 (2010) 073 [arXiv:1005.3508] [INSPIRE]. · Zbl 1291.81382 · doi:10.1007/JHEP09(2010)073 |
| [27] | Y. Aoki, Z. Fodor, S. Katz and K. Szabo, The QCD transition temperature: results with physical masses in the continuum limit, Phys. Lett.B 643 (2006) 46 [hep-lat/0609068] [INSPIRE]. |
| [28] | Y. Aoki et al., The QCD transition temperature: results with physical masses in the continuum limit II, JHEP06 (2009) 088 [arXiv:0903.4155] [INSPIRE]. · doi:10.1088/1126-6708/2009/06/088 |
| [29] | Y. Aoki, Z. Fodor, S. Katz and K. Szabo, The equation of state in lattice QCD: with physical quark masses towards the continuum limit, JHEP01 (2006) 089 [hep-lat/0510084] [INSPIRE]. · doi:10.1088/1126-6708/2006/01/089 |
| [30] | C. Morningstar and M.J. Peardon, Analytic smearing of SU(3) link variables in lattice QCD, Phys. Rev.D 69 (2004) 054501 [hep-lat/0311018] [INSPIRE]. |
| [31] | HPQCD and UKQCD collaboration, E. Follana et al., Highly improved staggered quarks on the lattice, with applications to charm physics, Phys. Rev.D 75 (2007) 054502 [hep-lat/0610092] [INSPIRE]. |
| [32] | Z. Fodor and S. Katz, The phase diagram of quantum chromodynamics, arXiv:0908.3341 [INSPIRE]. |
| [33] | S. Borsányi et al., The QCD equation of state with dynamical quarks, JHEP11 (2010) 077 [arXiv:1007.2580] [INSPIRE]. · Zbl 1294.81269 · doi:10.1007/JHEP11(2010)077 |
| [34] | S. Dürr et al., Ab-Initio determination of light hadron masses, Science322 (2008) 1224 [arXiv:0906.3599] [INSPIRE]. · doi:10.1126/science.1163233 |
| [35] | S. Dürr et al., Lattice QCD at the physical point: simulation and analysis details, JHEP08 (2011) 148 [arXiv:1011.2711] [INSPIRE]. · Zbl 1298.81381 · doi:10.1007/JHEP08(2011)148 |
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