Flavoured Large N Gauge Theory in an External Magnetic Field

Veselin G. Filev; Clifford V. Johnson; R. C. Rashkov; K. S. Viswanathan

doi:10.1088/1126-6708/2007/10/019

paper

Flavoured Large N Gauge Theory in an External Magnetic Field

arXiv:hep-th/0701001 · doi:10.1088/1126-6708/2007/10/019

Abstract

We consider a D7-brane probe of AdS $_{5} \times S^{5}$ in the presence of pure gauge $B$ -field. In the dual gauge theory, the $B$ -field couples to the fundamental matter introduced by the D7-brane and acts as an external magnetic field. The $B$ -field supports a 6-form Ramond-Ramond potential on the D7-branes world volume that breaks the supersymmetry and enables the dual gauge theory to develop a non-zero fermionic condensate. We explore the dependence of the fermionic condensate on the bare quark mass $m_{q}$ and show that at zero bare quark mass a chiral symmetry is spontaneously broken. A study of the meson spectrum reveals a coupling between the vector and scalar modes, and in the limit of weak magnetic field we observe Zeeman splitting of the states. We also observe the characteristic $m_{q}$ dependence of the ground state corresponding to the Goldstone boson of spontaneously broken chiral symmetry.

22 pages, 7 figures, references added, few typos corrected

Flavoured Large N Gauge Theory in an External Magnetic Field

Abstract

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