Gauge/gravity duality: an overview Z. Bajnok
Gauge/gravity duality: an overview Z. Bajnok
Gauge/gravity duality: an overview Z. Bajnok
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AdS/CFT correspondence: applications<br />
Minimal surface<br />
quark-<strong>an</strong>tiquark potential<br />
<strong>an</strong>ti−quark<br />
L<br />
quark<br />
space<br />
time<br />
extra dimension<br />
exact for strong coupling λ → ∞<br />
≡<br />
Wilson loop: 〈 ∮ C A µdx µ 〉<br />
non-perturbative<br />
V (r) = − 4π2√ 2λ<br />
Γ( 1 4 )4 1<br />
r<br />
growing black hole<br />
Heavy ion collision: exp<strong>an</strong>sion<br />
quark−gluon plasma<br />
exp<strong>an</strong>ds, cools<br />
grows<br />
black hole<br />
heavy ion<br />
collision<br />
thermalization<br />
isotropization<br />
Exp<strong>an</strong>sion<br />
Cooling<br />
Hadronization<br />
time<br />
heavy ions<br />
space<br />
extra dimension<br />
metric δg(x, 0) ∝ 〈T µν 〉<br />
ds 2 = 1 z 2 (g(x, z) µν dx µ dx ν + dz 2 )<br />
Einstein equation<br />
R ab − 1 2 g abR − 6g ab = 0<br />
growing black hole<br />
g tt = − (1−z4 /z 4 0 )2<br />
(1+z 4 /z 4 0 )2 ; g xx = 1 + z4<br />
z 4 0<br />
≡<br />
〈T µν 〉 matter distribution<br />
relativistic hydrodynamics<br />
∂ µ T µν = 0 <strong>an</strong>d T µ µ = 0<br />
viscous quark-gluon plasma<br />
exp<strong>an</strong>sion in time: perfect fluid + η s = 1<br />
4π +...
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