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26 April 2024 |
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Flavoured Large N Gauge Theory in an External Magnetic Field | | Veselin G. Filev
; Clifford V. Johnson
; R. C. Rashkov
; K. S. Viswanathan
; | | Date: |
29 Dec 2006 | | Abstract: | We consider a D7-brane probe of AdS$_{5} imes S^5$ 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. | | Source: | arXiv, hep-th/0701001 | | Services: | Forum | Review | PDF | Favorites | |
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