Chiral phase transitions and quantum critical points of the D3/D7(D5) system with mutually perpendicular E and B fields at finite temperature and density
Abstract
We study chiral symmetry restoration with increasing temperature and density in gauge theories subject to mutually perpendicular electric and magnetic fields using holography. We determine the chiral symmetry breaking phase structure of the D3/ D7 and D3/ D5 systems in the temperaturedensityelectric field directions. A magnetic field may break the chiral symmetry and an additional electric field induces Ohm and Hall currents as well as restoring the chiral symmetry. At zero temperature the D3/ D5 system displays a line of holographic BKT phase transitions in the densityelectric field plane, while the D3/ D7 system shows a meanfield phase transition. At intermediate temperatures, the transitions in the densityelectric field plane are of first order at low density, transforming to second order at critical points as density rises. At high temperature the transition is only ever first order.
 Publication:

Journal of High Energy Physics
 Pub Date:
 September 2011
 DOI:
 10.1007/JHEP09(2011)021
 arXiv:
 arXiv:1107.5053
 Bibcode:
 2011JHEP...09..021E
 Keywords:

 AdSCFT Correspondence;
 Holography and condensed matter physics (AdS/CMT);
 High Energy Physics  Theory;
 Condensed Matter  Strongly Correlated Electrons;
 Nuclear Theory
 EPrint:
 15 pages, 7 figures, v2: Added a reference