Stringy NJL and Gross-Neveu models at finite density and temperature

Abstract

Nonlocal stringy versions of the Nambu-Jona-Lasinio and Gross-Neveu models arise in a certain limit of holographic QCD. We analyze the phase structure at finite density and temperature at strong coupling in terms of probe branes in the gravity dual. Comparison with the phase structure of the local field theory models shows qualitative agreement with some aspects, and disagreement with others. Finally, we explain how to construct the Landau potentials for these models by taking the probe branes off-shell.

32 pages, uses JHEP3.cls; v2, references added, version to be submitted to JHEP

References in corpus (6)

• Chiral Dynamics of Baryons from String Theory
• Dynamics of Baryons from String Theory and Vector Dominance
• Photoemission with Chemical Potential from QCD Gravity Dual
• The Gross-Neveu Model from String Theory
• Chiral Symmetry Breaking from Intersecting D-Branes
• Sakai-Sugimoto Brane System at High Density

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• Holographic Responses of Fermion Matter
• Phase structure of the massive chiral Gross-Neveu model from Hartree-Fock
• Magnetic properties of dense holographic QCD
• Holographic QCD with Isospin Chemical Potential
• Anomalous conductivity in holographic QCD
• Holographic Magnetic Phase Transition
• Chiral Condensates in Finite Density Holographic NJL Model from String Worldsheets
• On the Baryonic Density and Susceptibilities in a Holographic Model of QCD