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arXiv · hep-th/0608149

The Gross-Neveu Model from String Theory

E. Antonyan·J. A. Harvey·D. Kutasov
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Abstract

We study an intersecting D-brane model which at low energies describes (1+1)-dimensional chiral fermions localized at defects on a stack of N_c D4-branes. Fermions at different defects interact via exchange of massless (4+1)-dimensional fields. At weak coupling this interaction gives rise to the Gross-Neveu (GN) model and can be studied using field theoretic techniques. At strong coupling one can describe the system in terms of probe branes propagating in a curved background in string theory. The chiral symmetry is dynamically broken at zero temperature and is restored above a critical temperature T_c which depends on the coupling. The phase transition at T_c is first order at strong coupling and second order at weak coupling.

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E. Antonyan, J. A. Harvey, D. Kutasov. 2006-08-22. The Gross-Neveu Model from String Theory. https://doi.org/10.1016/j.nuclphysb.2007.02.020

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