12 research outputs found
Quasinormal modes of massive charged flavor branes
We present an analysis and classification of vector and scalar fluctuations
in a D3/D7 brane setup at finite termperature and baryon density. The system is
dual to an N=2 supersymmetric Yang-Mills theory with SU(N_c) gauge group and
N_f hypermultiplets in the fundamental representation in the quenched
approximation. We improve significantly over previous results on the
quasinormal mode spectrum of D7 branes and stress their novel physical
interpretation. Amongst our findings is a new purely imaginary scalar mode that
becomes tachyonic at sufficiently low temperature and baryon density. We
establish the existence of a critical density above which the scalar mode stays
in the stable regime for all temperatures. In the vector sector we study the
crossover from the hydrodynamic to the quasiparticle regime and find that it
moves to shorter wavelengths for lower temperatures. At zero baryon density the
quasinormal modes move toward distinct discrete attractor frequencies that
depend on the momentum as we increase the temperature. At finite baryon
density, however, the trajectories show a turning behavior such that for low
temperature the quasinormal mode spectrum approaches the spectrum of the
supersymmetric zero temperature normal modes. We interpret this as resolution
of the singular quasinormal mode spectrum that appears at the limiting D7 brane
embedding at vanishing baryon density.Comment: 56 pages, 40 figure
Anomalous Transport from Kubo Formulae
Chiral anomalies have profound impact on the transport properties of
relativistic fluids. In four dimensions there are different types of anomalies,
pure gauge and mixed gauge-gravitational anomalies. They give rise to two new
non-dissipative transport coefficients, the chiral magnetic conductivity and
the chiral vortical conductivity. They can be calculated from the microscopic
degrees of freedom with the help of Kubo formulae. We review the calculation of
the anomalous transport coefficients via Kubo formulae with a particular
emphasis on the contribution of the mixed gauge-gravitational anomaly.Comment: 36 pages, 4 figures, 1 table; to appear in Lect. Notes Phys.
"Strongly interacting matter in magnetic fields" (Springer), edited by D.
Kharzeev, K. Landsteiner, A. Schmitt, H.-U. Yee; v2 small changes in
introduction, added references; v3 corrected eq. (21) and added eq. (77),
added reference
Holographic Flow of Anomalous Transport Coefficients
We study the holographic flow of anomalous conductivities induced by gauge
and gravitational Chern-Simons terms. We find that the contribution from the
gauge Chern-Simons term gives rise to a flow that can be interpreted in terms
of an effective, cutoff dependent chemical potential. In contrast the
contribution of the gauge-gravitational Chern-Simons term is just the
temperature squared and does not flow.Comment: 26 pages, no figure
Parity-Violating Hydrodynamics in 2+1 Dimensions
We study relativistic hydrodynamics of normal fluids in two spatial
dimensions. When the microscopic theory breaks parity, extra transport
coefficients appear in the hydrodynamic regime, including the Hall viscosity,
and the anomalous Hall conductivity. In this work we classify all the transport
coefficients in first order hydrodynamics. We then use properties of response
functions and the positivity of entropy production to restrict the possible
coefficients in the constitutive relations. All the parity-breaking transport
coefficients are dissipationless, and some of them are related to the
thermodynamic response to an external magnetic field and to vorticity. In
addition, we give a holographic example of a strongly interacting relativistic
fluid where the parity-violating transport coefficients are computable.Comment: 39+1 page
Holographic Gravitational Anomaly and Chiral Vortical Effect
We analyze a holographic model with a pure gauge and a mixed
gauge-gravitational Chern-Simons term in the action. These are the holographic
implementations of the usual chiral and the mixed gauge-gravitational anomalies
in four dimensional field theories with chiral fermions. We discuss the
holographic renormalization and show that the gauge-gravitational Chern-Simons
term does not induce new divergences. In order to cancel contributions from the
extrinsic curvature at a boundary at finite distance a new type of counterterm
has to be added however. This counterterm can also serve to make the Dirichlet
problem well defined in case the gauge field strength vanishes on the boundary.
A charged asymptotically AdS black hole is a solution to the theory and as an
application we compute the chiral magnetic and chiral vortical conductivities
via Kubo formulas. We find that the characteristic term proportional to T^2 is
present also at strong coupling and that its numerical value is not
renormalized compared to the weak coupling result.Comment: 27 pages, no figure
Holographic spontaneous parity breaking and emergent hall viscosity and angular momentum
Lectures on holographic methods for condensed matter physics
These notes are loosely based on lectures given at the CERN Winter School on
Supergravity, Strings and Gauge theories, February 2009 and at the IPM String
School in Tehran, April 2009. I have focused on a few concrete topics and also
on addressing questions that have arisen repeatedly. Background condensed
matter physics material is included as motivation and easy reference for the
high energy physics community. The discussion of holographic techniques
progresses from equilibrium, to transport and to superconductivity.Comment: 1+85 pages. 15 figures. v2: typos fixed and references added. v3:
another typo fixe