E, B, μ, T phase structure of the D3/D7 holographic dual
Abstract
The large N mathcal{N} = 4 gauge theory with quenched mathcal{N} = 2 quark matter displays chiral symmetry breaking in the presence of a magnetic field. We previously studied the temperature and chemical potential phase structure of this theory in the grand canonical ensemble-here we, in addition, include the effect of an electric field which acts to counter chiral symmetry breaking by dissociating mesons. We compute using the gravity dual based on the D3/probe-D7 brane system. The theory displays two transition at one of which chiral symmetry is restored. At the other transition density switches on, the mesons of the theory become unstable and a current forms, making it a conductor-insulator transition. Through the temperature, electric field, chemical potential volume (at fixed magnetic field parallel to the electric field) these transitions can coincide or separate at critical points, and be first order or second order. We map out this full phase structure which provides varied computable examples relevant to strongly coupled gauge theories and potentially condensed matter systems.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- May 2011
- DOI:
- 10.1007/JHEP05(2011)067
- arXiv:
- arXiv:1103.5627
- Bibcode:
- 2011JHEP...05..067E
- Keywords:
-
- Gauge-gravity correspondence;
- AdS-CFT Correspondence;
- High Energy Physics - Theory;
- Condensed Matter - Strongly Correlated Electrons;
- High Energy Physics - Lattice;
- Nuclear Theory
- E-Print:
- 20 pages, 7 figures