Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-12-29
JHEP0710:019,2007
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, 7 figures, references added, few typos corrected
Scientific paper
10.1088/1126-6708/2007/10/019
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 $\sqrt{m_{q}}$ dependence of the ground state corresponding to the Goldstone boson of spontaneously broken chiral symmetry.
Filev Veselin G.
Johnson Clifford V.
Rashkov Radoslav C.
Viswanathan Sankaran K.
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