Scalar effective potential for D7 brane probes which break chiral symmetry

Details Scalar effective potential for D7 brane probes which break chiral symmetry Scalar effective potential for D7 brane probes which break chiral symmetry

2005-09-29

arxiv.org/abs/hep-th/0509219v3

JHEP0605:011,2006

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 2 figures, calculation for the Constable-Myers geometry revised

Scientific paper

10.1088/1126-6708/2006/05/011

We consider D7 brane probes embedded in deformed AdS5 x S5 supergravity backgrounds which are non-supersymmetric in the interior. In the context of the generalised AdS/CFT correspondence, these setups are dual to QCD-like theories with fundamental matter which display chiral symmetry breaking by a quark condensate. Evaluating the D7 action for a surface instanton configuration gives rise to an effective potential for the scalar Higgs vev in the dual field theory. We calculate this potential for two specific supergravity backgrounds. For a metric due to Constable and Myers, we find that the potential is asymptotically bounded by a 1/Q^4 behaviour and has a minimum at zero vev. For the Yang-Mills* background we find that the Higgs potential scales quadratically with the Higgs vev. This corresponds to a canonical mass term and the embedding is again stable.

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