Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-07-16
JHEP 0811:031,2008
Physics
High Energy Physics
High Energy Physics - Theory
62 pages, 32 figures. references and paragraph about non-Abelian DBI action added
Scientific paper
10.1088/1126-6708/2008/11/031
We investigate the thermodynamics of a thermal field theory in presence of both a baryon and an isospin chemical potential. For this we consider a probe of several D7-branes embedded in the AdS-Schwarzschild black hole background. We determine the structure of the phase diagram and calculate the relevant thermodynamical quantities both in the canonical and in the grand canonical ensemble. We discuss how accidental symmetries present reflect themselves in the phase diagram: In the case of two flavors, for small densities, there is a rotational symmetry in the plane spanned by the baryon and isospin density which breaks down at large densities, leaving a Z_4-symmetry. Finally, we calculate vector mode spectral functions and determine their dependence on either the baryon or the isospin density. For large densities, a new excitation forms with energy below the known supersymmetric spectrum. Increasing the density further, this excitation becomes unstable. We speculate that this instability indicates a new phase of condensed mesons.
Erdmenger Johanna
Kaminski Matthias
Kerner Patrick
Rust Felix
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