Flavoured Large N Gauge Theory in an External Magnetic Field

By V. Filev, Clifford V. Johnson, R. Rashkov, K. Viswanathan. 2006

177 citations recorded by the source corpus.

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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ec6f357bbbf0536591ac1df0f409a22ab888af7b

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In Nuclear and High Energy Physics

Citations in the corpus

Heavy ions and string theory (2013, unknown): “Furthermore, one wishes to emulate QCD by introducing a conformal-symmetry breaking scale to play the role of ΛQCD; in the literature this has been addressed by turning on a spatial magnetic field B for the baryon number gauge field [186].”
Superconductivity from gauge/gravity duality with flavor (2008, background): “Switching on a magnetic field H(3) 3 = F 3 12 along the lines of [15, 16], we find a critical line in the magnetic field and temperature plane.”
Inverse magnetic catalysis in dense holographic matter (2010, background): “Recently, this effect has also been reproduced in holographic models with flavor branes subjected to magnetic fields [7, 8, 9, 10].”
Quarks in an External Electric Field in Finite Temperature Large N Gauge Theory (2007, unknown): “15 54 v3 [ he p- Contents”