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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• The Gross-Neveu Model from String Theory
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• Bright branes for strongly coupled plasmas
• Quantum integrability and functional equations
• Chiral Symmetry Breaking from Intersecting D-Branes
• On holographic phase transitions at finite chemical potential
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• Duality Symmetries and G^{+++} Theories
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