Loading in 5 sec....

Heavy Quark Propagation in an AdS/CFT plasmaPowerPoint Presentation

Heavy Quark Propagation in an AdS/CFT plasma

- 121 Views
- Uploaded on

Download Presentation
## PowerPoint Slideshow about ' Heavy Quark Propagation in an AdS/CFT plasma' - mircea

**An Image/Link below is provided (as is) to download presentation**

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript

### Heavy Quark Propagation in an AdS/CFT plasma

Jorge Casalderrey-Solana

LBNL

Work in collaboration with Derek Teaney

Langevin dynamics for heavy quarks

Calibration of the noise

Broadening from Wilson Lines

AdS/CFT computation

Broadening at finite velocity

Heavy Quark M>>T moves slowly

de Broglie w. l.

HQ is classical

Random (white) noise

Einstein relations

Medium properties

The Langevin model to is used to describe charm and bottom quarks

Fits to data allow to extract the diffusion coefficient

(Moore & Teaney,

van Hees & Rapp)

In perturbation theory

But we cannot use diagrams!

M>>T long deflection time

Thermal average

y

AdS/CFT computation

Static Quark:

straight string stretching to the horizon

v=0

u=e

We solve the small fluctuation problem

(mechanical problem)

u0=1

Horizon

In terms of the classical solution

Broadening and Diffusion in AdS/CFT

In perturbation theory

Depends explicitly on Nc. Different from h/s

It is not universal!

Putting numbers

To compare with QCD => rescale the degrees of freedom

(Liu, Rajagopal, Wiedemann)

u=1/g

Probe at finite velocity

t

Trailing string

=> work over tension

x=vt

x

same

k!

Drag valid for all p !

(Herzog, Karch, Kovtun, Kozcaz and Yaffe ; Gubser)

Broadening => repeat fluctuation problem

Depends on the energy of the probe!

We have provided a “non-perturbative” definition of the momentum broadening as derivatives of a Wilson Line

This definition is suited to compute k in N=4 SYM by means of the AdS/CFT correspondence.

The calculated k scales as and takes much larger values than the perturbative extrapolation for QCD.

The results agree, via the Einstein relations, with the computations of the drag coefficient. This can be considered as an explicit check that AdS/CFT satisfy the fluctuation dissipation theorem.

The momentum broadening k at finite v diverges as .

Computation of (Radiative Energy Loss)

t

L

r0

(Liu, Rajagopal, Wiedemann)

Dipole amplitude:

two parallel Wilson lines in the light cone:

Order of limits:

String action becomes imaginary for

For small transverse distance:

entropy scaling

(JC & X. N. Wang)

From the unintegrated PDF

Evolution leads to growth of the gluon density,

In the DLA

HTL provide the initial conditions for evolution.

Saturation effects

For an infinite conformal plasma (L>Lc) with Q2max=6ET.

At strong coupling

HQ momentum relaxation time:

Consider times such that

microscopic force (random)

charge density

electric field

Heavy Quark Partition Function

McLerran, Svetitsky (82)

YM states

YM + Heavy Quark states

Integrating out the heavy quark

Polyakov Loop

Heavy Quark Partition Function

McLerran, Svetitsky (82)

YM states

YM + Heavy Quark states

Integrating out the heavy quark

Polyakov Loop

k as a Retarded Correlator

k is defined as an unordered correlator:

From ZHQ the only unordered correlator is

Defining:

In the w0 limit the contour dependence disappears :

E(t1,y1)Dt1dy1

Since in k there is no time order:

E(t2,y2)Dt2dy2

Force Correlators from Wilson Lines

Integrating the Heavy Quark propagator:

Which is obtained from small fluctuations of the Wilson line

Download Presentation

Connecting to Server..