NGN, QCD_2 and chiral phase transition from string theory

Abstract

We construct a D2-D8-$\overline{D8}$ configuration in string theory, it can be described at low energy by two dimensional field theory. In the weak coupling region, the low energy theory is a nonlocal generalization of Gross-Neveu(GN) model which dynamically breaks the chiral flavor symmetry $U(N_f{)}_L\times U(N_f{)}_R$ at large $N_c$ and finite $N_f$. However, in the strong coupling region, we can use the SUGRA/Born-Infeld approximation to describe the low energy dynamics of the system. Also, we analyze the low energy dynamics about the configuration of wrapping the one direction of D2 brane on a circle with anti-periodic boundary condition of fermions. The fermions and scalars on D2 branes get mass and decouple from the low energy theory. The IR dynamics is described by the $QC{D}_2$ at weak coupling. In the opposite region, the dynamics has a holographic dual description. And we have discussed the phase transition of chiral symmetry breaking at finite temperature. Finally, after performing T-duality, this configuration is related to some other brane configurations.

30 pages, 3 figures, minor changes

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• Holographic Phase Transitions with Fundamental Matter
• Chiral Phase Transition from String Theory
• NJL and QCD from String Theory
• Chiral Transition of N=4 Super Yang-Mills with Flavor on a 3-Sphere
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• Holographic mesons in various dimensions
• Open string modes at brane intersections
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• Duality Symmetries and G^{+++} Theories
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• Generalized Gross-Neveu Models and Chiral Symmetry Breaking from String Theory
• Higher Derivative Corrections in Holographic QCD
• Chiral Symmetry Breaking in Brane Models
• Aspects of the Holographic Study of Flavor Dynamics
• A Note on Chiral Symmetry Breaking from Intersecting Branes