All Questions
Tagged with ads-cft correlation-functions
16
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Bulk-to-bulk propagator in 3-point function in AdS-CFT correspondence. Trouble solving a PDE
I have encountered an issue in a PDE (A Green's function actually). I am solving it in $(d+1)$-dimensions and I use Poincare coordinates in AdS spacetime, meaning I have a dimension $z$ and I also ...
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43
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Trouble in complex integral while calculating 2-point function in AdS-CFT correspondence [closed]
Upon calculating the 2-point function of a scalar, I ran in a problem in the final calculations. For reference, I am basiccaly following the methodology of https://www.sissa.it/tpp/phdsection/...
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What's physical meaning of 2-point correlation function in holographic condensed matter?
Background: In AdS/CFT, we can do calculations in AdS spacetime, and get the result in CFT. When we consider RN-AdS black hole/brane, 2-point correlation functions in CFT can be obtained, which are ...
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Phase shift in holographic one-point function
I have a simple question about the response of an operator one-point function to an external source $\propto e^{-i\omega t}$ in AdS/CFT.
I consider a real scalar probe of mass $m$ in $AdS_{d+1}$ which ...
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Holographic derivation of correlations functions in $\text{AdS}_3$/$\text{CFT}_2$
Intro
I am interested in finding the correlations functions $\langle A^{a_1}_z(z_1) \cdots A^{a_k}_z(z_k) \rangle$ in the frame of $\text{AdS}_3$/$\text{CFT}_2$ correspondance for 3D gravity and two ...
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How to apply the boundary condition in the derivation of the 2-point function in MAGOO?
In the famous AdS/CFT review, in section 3.3.1 the authors give the two-point function of the operator $\mathcal{O}$ for which $\phi_0$ is a source, we write
$$
\langle\mathcal{O}(p)\mathcal{O}(q)\...
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118
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MAGOO 2-Point Correlation function derivation
I am studying the famous MAGOO review and I am trying to understand section 3.3 where we calculate the correlation functions from the AdS side. In subsection 3.3.1 the authors go through the 2-point ...
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310
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Coefficient of the three-point function of two identical scalars and stress tensor in CFT in $D>2$
The three-point function of two scalars with a spin-$l$ tensor is given by
$$ \langle \phi_{1}(x_1) \phi_{2}(x_2) J^{\mu_1 ...\mu_l}(x_3) \rangle = f_{\phi \phi J} \frac{(Z^{\mu_1}...Z^{\mu_l}-\text{...
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Question regarding the asymptotic values of out-of-time order correlators (OTOCs)
Quoting A bound on chaos by Maldacena, Shenker and Stanford:
Strong chaos, the butterfly effect, is a ubiquitous phenomenon in physical systems, explaining thermal behavior, among other things. In ...
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What does it mean for correlation functions to be dominated by the vacuum block for a 2D CFT?
In a 2D CFT, correlation functions dominated by the vacuum block have no conical defects. You can calculate the OPE and determine the correlation function using the D-S equations and cancel out UV ...
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Correlation function late time decay and information loss
In the perturbative treatment of, let's say, a scalar field theory on AdS spacetime, the correlation functions decay exponentially at late times, indicating, as people say, information loss.
I guess ...
3
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1
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510
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Differences and relations between CFTs defined on the complex plane and CFTs defined on the torus?
What are the differences and relations between CFTs defined on the complex plane and CFTs defined on the torus? Are they supposed to be the same CFTs?
I think they should have the same spectra of ...
4
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1
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856
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Correlator of energy-momentum tensor and OPE
In http://arxiv.org/abs/hep-th/9108028 Equation (2.22), the correlation function of then energy-momentum tensor with some primary fields is
We can view this as sum over the OPE of the energy-...
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236
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Solution of Dirichlet problem for scalar field in Ads
I am reading "Anti de Sitter space and holography" by Witten. In this article he derives the two-point function for CFT from theADS/CFT correspondence for a massless scalar field living in the bulk.
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Correlation functions in thermal field theory etc
Suppose I am studying a field theory at finite temperature or some black hole formation scenario from boundary theory perspective in the sense of AdS/CFT. How is it possible to gain information about ...