Gravity Dual of Spatially Modulated Phase(QCD Phase Diagram,New Frontiers in QCD 2010-Exotic Hadron Systems and Dense Matter-)

概要

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We analyze an instability that may be induced by a chiral anomaly at finite densities in a strongly-coupled gauge theory. We employ the gauge/gravity duality. The effect of the chiral anomaly is represented by a Chern-Simons (CS) term in the gravity dual and it has a tendency to induce an inhomogeneous flow of the global current, namely an inhomogeneous instability, at finite densities. From the viewpoint of general relativity, this can be a new instability of charged black holes induced by the CS term. However, as far as we have analyzed based on the supergravity, the potentially unstable modes turned out to be always barely stable. In terms of the gauge theory, the stability is protected due to the coupling between the global current and the stress-energy tensor.
2010-12-17