Scalar effective potential for D7 brane probes which break chiral symmetry
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0509219,
title = {Scalar effective potential for D7 brane probes which break chiral symmetry},
author = {Riccardo Apreda and Johanna Erdmenger and Nick Evans},
journal= {arXiv preprint arXiv:hep-th/0509219},
year = {2009}
}
Comments
13 pages, 2 figures, calculation for the Constable-Myers geometry revised