Classical and Quantum Screening in AdS gravity

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Classical and Quantum Screening in AdS
gravity
Oriol Pujolàs New York University
0711.2072, JHEP 0806059 w/ L Grisa 0809.0005
Paris-Stockholm Workshop on Consistent  Infra-Red
Modifications of Gravity Paris, Nov 24th to 28th
2008
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Motivation 1)
Constructing consistent massive gravity in AdS4
is extremely easy
Add conformal field w/ transparent boundary
conditions _at_
(Porrati 01)
This model is covariant and has UV completion
Karch Randall model (1 brane)
Well find exact soln for a Domain Wall, dressed
with the CFT particles that it produces. DW
tension is screened
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Plan
? Motivation 1) Massive gravity in AdS
(Karch-Randall) 2) BH evaporation into strongly
coupled CFTs ? CFT-particle creation by Moving
Mirrors (quantum screening of DWs
in AdS) ? Cosmic Strings in AdS gravity
(classical screening) ? Conclusions
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Motivation 2)
BH evaporation into strongly coupled theories
(e.g. QCD)
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Motivation 2)
Photosphere / chromosphere formation?
(Heckler 95)
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Motivation 2)
Photosphere / chromosphere formation?
(Heckler 95)
In QED
2?3 processes Bremsstrahlung e e ? e
e ? e-? pair creation e ? ? e e e-
??
e e- ?
Criticism
Can we learn anything from AdS/CFT ??
(Carr MacGibbon Page 07 Alig Drees Oda 06)
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Cutoff AdS/CFT
Gubser 99 Emparan Fabbri Kaloper 02 Tanaka 02
Is it possible to include gravity on the 4D side?
Randall Sundrum / gravity CFT
Israel Junction cond / semiclassical Einstein eqns
Quantum effects from CFT and their
Backreaction included!
localized 5d solutions / quantum corrected 4d
geometries
Many checks passed (weak field, trace anomaly)
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Cutoff AdS/CFT
correction to Newtonian potential from a point
source
brane

AdS
Garriga Tanaka 99
Duff Liu 00
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CFT-radiating BHs
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CFT-radiating BHs
Large N ? backreaction included and
N-hanced ? no static localized
BH in RS (Tanaka 02, Emparan Fabbri
Kaloper 02) Strong coupling ? dof may be
smaller
(Fitzpatrick Randall
Wiseman 06)
Tension
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CFT-radiating BHs
WUBS Warped Uniform
Black String
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CFT-radiating BHs
unstable
Gregory-Lafflame instability
??
Is this the dual of Hawking Radiation ??
(GLinstability HRspontaneous decay)
Perhaps even more interesing
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Karch Randall
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Karch Randall
CFT gravity in AdS4 w/ transparent
boundary conditions
AdS4 brane
AdS5
graviton is massive
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Karch Randall
CFT gravity in AdS4 w/ reflecting
boundary conditions
Z2
graviton is massless
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CFT-radiating BHs in AdS4
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CFT-radiating BHs in AdS4
S-AdS WUBS
is STABLE
Emparan Horowitz Myers 00 Hirayama Kang 01
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CFT-radiating BHs in AdS4
S-AdS WUBS
is STABLE
transparent BC
Not asymptotically AdS5 ? Irrelevant
state (CFT not in ground state)
But stability ? relevant state?? It may well be
metastable
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Particle creation by Moving Mirrors
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Particle creation by Moving Mirrors
Gravitating Domain Wall Accelerating Mirror
F
?
DW in AdS4
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Particle creation by Moving Mirrors
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Particle creation by Moving Mirrors
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Casimir energy on one loop
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Casimir energy on strong coupl.
AdS5 geometries with boundary
Hyperbolic AdS Solitons
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Casimir energy on strong coupl.
AdS5 geometries with boundary
Hyperbolic AdS Solitons
(pure AdS)
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Casimir energy on strong coupl.
AdS5 geometries with boundary
Hyperbolic AdS Solitons
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Casimir energy on strong coupl.
From standard AdS/CFT technology,
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Casimir energy on strong coupl.
From standard AdS/CFT technology,
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Casimir energy on
Weak Strong coupling results are both of
order No suppression of radiation due to strong
coupling Expected?
Yes N4 SYM is non-confining in infinite volume
even at T0
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Backreaction

• Massive gravity interpretation
• Bootstrap DWs
• 5D dual DWs in Karch Randall
• Boundary conditions / vacuum for CFT
• Nontrivial test of holography for KR

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Backreaction (4D picture)
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Backreaction (4D picture)
Friedmann equation (away from the DW)
trace anomaly
Casimir Energy
Fixed (theory-dependent) function of
(definite-)integro-differential eq for R(y)
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Backreaction (4D picture)
Friedmann equation (away from the DW)
Replace (a constant)
Solve for
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Quantum screening
Backreaction from leads to screening of
DW tension
Screening present both for reflecting and
transparent BC
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Bootstrap DW spacetimes
Without backreaction, (super)critical DWs
generate horizon ? Can backreaction from
replace the horizon by a bounce??
YES Bootstrap Domain Wall spacetime Quantum
bounce ? no classical limit
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Bootstrap DW spacetimes
Example planar (yet subcritical) DW
1-loop
Non-trivial test of Karch Randall
holography
5D dual
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5D dual localized DWs in KR
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5D dual localized DWs in KR
Brane embedding on Hyperb-AdS soliton
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5D dual localized DWs in KR
transparent BCs
Global AdS5 boundary condition
CFT in ground state (no DW )
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5D dual localized DWs in KR
reflecting BCs
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Cosmic Strings in AdS gravity Classical
screening phenomenon
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Cosmic Strings in AdS gravity
Relativistic (pure-tension) codim-2 brane. In
thin wall limit,
produce conical singularity
Usually (eg,in asymptotically Flat space)
this also modifies global
structure of spacetime.
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Cosmic Strings in AdS gravity
Pure AdS
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Cosmic Strings in AdS gravity
Locally AdS CS asymptotically AdS - wedge
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Cosmic Strings in AdS gravity
Pure AdS
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Cosmic Strings in AdS gravity
gravit. repulsion
tidal forces
Locally Hyper AdS Soliton asy GLOBAL AdS
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Cosmic Strings in AdS gravity
Hyperbolic AdS Soliton revisited In fact
Hyper-AdS Soliton is a cosmic string
-- it is codimension-2 lump of Weyl
curvature
Tension can be ve or -ve
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Conclusions

• CFT particle creation by DW in AdS is very
  illustrative graviton mass shows up in
  the pattern of screening plasma
  screens in equilibrium with the DW
  relation between boundary
  conditions / vacuum state
  weak and strong coupling results
  comparable, as expected
  
  Bootstrap DWs are strong evidence for
  cutoff AdS/CFT
• AdS4 BH counter-example is inconclusive
• Holographic picture of BHevaporation? it comes
  in bursts?
• Radiation from DWs is dual to CSs producing
  tidal forces
• AdS gravity displays screening for codimension 2
  sources (deficit angle ? Weyl curv). Is this
  specific to AdS ?