Light-front Nambu--Jona-Lasinio model at finite temperature and density

Abstract

In recent years light-front quantisation has been extended to allow for a consistent treatment of systems at finite temperature and density. This is in particular interesting for an investigation of the processes in nuclear matter under extreme condition as occurring, e.g., during a heavy ion collision. Utilising a Dyson expansion to the N-point Green functions at finite temperature and density we focus on the occurrence of pionic and scalar diquark dynamics in quark matter and compute the masses and the Mott dissociation using a separable t-matrix approach. For the scalar quark-quark correlation we determine the critical temperature of colour superconductivity using the Thouless criterion. On the same footing the properties of the nucleon in a medium of quark matter are computed within a Faddeev approach. Critical lines for nucleon breakup are given. Presently, we use a light-front Nambu--Jona-Lasinio model that allows us to compare these results of this novel approach to the more traditional instant form approach, where applicable.

16 pages, 6 figures

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Cited by in corpus (7)

• Nonperturbative light-front Hamiltonian methods
• The NJL-jet model for quark fragmentation functions
• Shear viscosity of the Quark-Gluon Plasma from a virial expansion
• Entropy production for an interacting quark-gluon plasma
• Casimir force on a light front
• Mesons and diquarks in a color superconducting regime
• Three-Fermion Bound States on the Light Front