The Gross-Neveu Model from String Theory

Details The Gross-Neveu Model from String Theory The Gross-Neveu Model from String Theory

2006-08-22

arxiv.org/abs/hep-th/0608149v1

Nucl.Phys.B776:93-117,2007

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, harvmac (b)

Scientific paper

10.1016/j.nuclphysb.2007.02.020

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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