Holographic description of the phase diagram of a chiral symmetry breaking gauge theory
Abstract
The large N mathcal{N} = 4 gauge theory with quenched mathcal{N} = 2 quark matter in the presence of a magnetic field displays chiral symmetry breaking. We study the temperature and chemical potential dependence of this theory using its gravity dual (based on the D3/D7 brane system). With massless quarks, at zero chemical potential, the theory displays a first order thermal transition where chiral symmetry is restored and simultaneously the mesons of the theory melt. At zero temperature, these transitions with chemical potential are second order and occur at different chemical potential values. Between the three there are two tricritical points, the positions of which we identify. At finite quark mass the second order transition for chiral symmetry becomes a cross over and there is a critical point at the end of the first order transition, while the meson melting transition remains similar to the massless quark case. We track the movement of the critical points as the mass is raised relative to the magnetic field.
 Publication:

Journal of High Energy Physics
 Pub Date:
 March 2010
 DOI:
 10.1007/JHEP03(2010)132
 arXiv:
 arXiv:1002.1885
 Bibcode:
 2010JHEP...03..132E
 Keywords:

 Gaugegravity correspondence;
 AdSCFT Correspondence;
 QCD;
 High Energy Physics  Theory;
 High Energy Physics  Lattice;
 High Energy Physics  Phenomenology;
 Nuclear Theory
 EPrint:
 V1: 13 pages, 10 figures, V2: References added