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Flavoured large N gauge theory in an external magnetic field

2007; Springer Nature; Volume: 2007; Issue: 10 Linguagem: Inglês

10.1088/1126-6708/2007/10/019

1127-2236

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

Particle physics theoretical and experimental studies

We consider a D7-brane probe of AdS5 × S5 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 mq 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 √mq dependence of the ground state corresponding to the Goldstone boson of spontaneously broken chiral symmetry.