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Is there still any T c mystery in lattice QCD? Results with physical masses in the continuum limit III

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Abstract

The present paper concludes our investigations on the QCD cross-over transition temperatures with 2+1 staggered flavours and one-link stout improvement. We extend our previous two studies [Phys. Lett. B643 (2006) 46, JHEP 0906:088 (2009)] by choosing even finer lattices (N t = 16) and we work again with physical quark masses. The new results on this broad cross-over are in complete agreement with our earlier ones. We compare our findings with the published results of the hotQCD collaboration. All these results are confronted with the predictions of the Hadron Resonance Gas model and Chiral Perturbation Theory for temperatures below the transition region. Our results can be reproduced by using the physical spectrum in these analytic calculations. The findings of the hotQCD collaboration can be recovered by using a distorted spectrum which takes into account lattice discretization artifacts and heavier than physical quark masses. This analysis provides a simple explanation for the observed discrepancy in the transition temperatures between our and the hotQCD collaborations.

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Authors and Affiliations

  1. Department of Physics, Bergische Universität Wuppertal, Gaußstr. 20, D-42119, Wuppertal, Germany

    Szabolcs Borsányi, Zoltán Fodor, Christian Hoelbling, Stefan Krieg, Claudia Ratti & Kálmán K. Szabó

  2. Jülich Supercomputing Center, Forschungszentrum Jülich, D-52425, Jülich, Germany

    Zoltán Fodor

  3. Institute for Theoretical Physics, Eötvös University, Pázmány 1, H-1117, Budapest, Hungary

    Zoltán Fodor & Sándor D. Katz

  4. Center for Theoretical Physics, MIT, Cambridge, MA, 02139-4307, U.S.A.

    Stefan Krieg

Authors
  1. Szabolcs Borsányi
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  2. Zoltán Fodor
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  3. Christian Hoelbling
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  4. Sándor D. Katz
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  5. Stefan Krieg
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  6. Claudia Ratti
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  7. Kálmán K. Szabó
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Correspondence to Szabolcs Borsányi.

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ArXiv ePrint: 1005.3508

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Borsányi, S., Fodor, Z., Hoelbling, C. et al. Is there still any T c mystery in lattice QCD? Results with physical masses in the continuum limit III. J. High Energ. Phys. 2010, 73 (2010). https://doi.org/10.1007/JHEP09(2010)073

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