22 research outputs found
Holographic Screening Length in a Hot Plasma of Two Sphere
We study the screening length of a quark-antiquark pair moving in a hot
plasma living in two sphere manifold using AdS/CFT correspondence where
the background metric is four dimensional Schwarzschild-AdS black hole. The
geodesic solution of the string ends at the boundary is given by a stationary
motion in the equatorial plane as such the separation length of
quark-antiquark pair is parallel to the angular velocity . The
screening length and the bound energy are computed numerically using
Mathematica. We find that the plots are bounded from below by some functions
related to the momentum transfer of the drag force configuration. We
compare the result by computing the screening length in the quark-antiquark
reference frame where the gravity dual are "Boost-AdS" and Kerr-AdS black
holes. Finding relations of the parameters of both black holes, we argue that
the relation between mass parameters of the Schwarzschild-AdS black
hole and of the Kerr-AdS black hole in high temperature is given by
, where is the angular momentum
parameter.Comment: Major revision: title changed, adding authors, 13 pages, 8 figures,
etc. Accepted for publication in European Physical Journal
Drag force in a strongly coupled anisotropic plasma
We calculate the drag force experienced by an infinitely massive quark
propagating at constant velocity through an anisotropic, strongly coupled N=4
plasma by means of its gravity dual. We find that the gluon cloud trailing
behind the quark is generally misaligned with the quark velocity, and that the
latter is also misaligned with the force. The drag coefficient can be
larger or smaller than the corresponding isotropic value depending on the
velocity and the direction of motion. In the ultra-relativistic limit we find
that generically . We discuss the conditions under which this
behaviour may extend to more general situations.Comment: 25 pages, 13 figures; v2: minor changes, added reference
Chiral drag force
We provide a holographic evaluation of novel contributions to the drag force
acting on a heavy quark moving through strongly interacting plasma. The new
contributions are chiral in that they act in opposite directions in plasmas
containing an excess of left- or right-handed quarks and in that they are
proportional to the coefficient of the axial anomaly. These new contributions
to the drag force act either parallel to or antiparallel to an external
magnetic field or to the vorticity of the fluid plasma. In all these respects,
these contributions to the drag force felt by a heavy quark are analogous to
the chiral magnetic effect on light quarks. However, the new contribution to
the drag force is independent of the electric charge of the heavy quark and is
the same for heavy quarks and antiquarks. We show that although the chiral drag
force can be non-vanishing for heavy quarks that are at rest in the local fluid
rest frame, it does vanish for heavy quarks that are at rest in a suitably
chosen frame. In this frame, the heavy quark at rest sees counterpropagating
momentum and charge currents, both proportional to the axial anomaly
coefficient, but feels no drag force. This provides strong concrete evidence
for the absence of dissipation in chiral transport, something that has been
predicted previously via consideration of symmetries. Along the way to our
principal results, we provide a general calculation of the corrections to the
drag force due to the presence of gradients in the flowing fluid in the
presence of a nonzero chemical potential. We close with a consequence of our
result that is at least in principle observable in heavy ion collisions, namely
an anticorrelation between the direction of the CME current for light quarks in
a given event and the direction of the kick given to the momentum of all the
heavy quarks and antiquarks in that event.Comment: 28 pages, small improvement to the discussion of gravitational
anomaly, references adde
Anisotropic Drag Force from 4D Kerr-AdS Black Holes
Using AdS/CFT we investigate the effect of angular-momentum-induced
anisotropy on the instantaneous drag force of a heavy quark. The dual
description is that of a string moving in the background of a Kerr-AdS black
holes. The system exhibits the expected focussing of jets towards the impact
parameter plane. We put forward that we can use the connection between this
focussing behavior and the angular momentum induced pressure gradient to
extrapolate the pressure gradient correction to the drag force that can be used
for transverse elliptic flow in realistic RHIC. The result is recognizable as a
relativistic pressure gradient force.Comment: 22 pages and 4 figure
Electromagnetic signatures of a strongly coupled anisotropic plasma
In heavy-ion collisions, quark-gluon plasma is likely to be produced with
sizable initial pressure anisotropy, which may leave an imprint on
electromagnetic observables. In order to model a strongly coupled anisotropic
plasma, we use the AdS/CFT correspondence to calculate the current-current
correlator of a weakly gauged U(1) subgroup of R symmetry in an N=4
super-Yang-Mills plasma with a (temporarily) fixed anisotropy. The dual
geometry, obtained previously by Janik and Witaszczyk, contains a naked
singularity which however permits purely infalling boundary conditions and
therefore the usual definition of a retarded correlator. We obtain numerical
results for the cases of wave vector parallel and orthogonal to the direction
of anisotropy, and we compare with previous isotropic results. In the
(unphysical) limit of vanishing frequency (infinite time) we obtain a vanishing
DC conductivity for any amount of anisotropy, but the anisotropic AC
conductivities smoothly approach the isotropic case in the limit of high
frequencies. We also discuss hard photon production from an anisotropic plasma
and compare with existing hard-loop resummed calculations.Comment: 23 pages, 15 figures. v3: improved figures 1 and
Thermodynamics and Instabilities of a Strongly Coupled Anisotropic Plasma
We extend our analysis of a IIB supergravity solution dual to a spatially
anisotropic finite-temperature N=4 super Yang-Mills plasma. The solution is
static, possesses an anisotropic horizon, and is completely regular. The full
geometry can be viewed as a renormalization group flow from an AdS geometry in
the ultraviolet to a Lifshitz-like geometry in the infrared. The anisotropy can
be equivalently understood as resulting from a position-dependent theta-term or
from a non-zero number density of dissolved D7-branes. The holographic stress
tensor is conserved and anisotropic. The presence of a conformal anomaly plays
an important role in the thermodynamics. The phase diagram exhibits homogeneous
and inhomogeneous (i.e. mixed) phases. In some regions the homogeneous phase
displays instabilities reminiscent of those of weakly coupled plasmas. We
comment on similarities with QCD at finite baryon density and with the
phenomenon of cavitation.Comment: 62 pages, 13 figures; v2: typos fixed, added reference