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1 vote
0 answers
16 views

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 ...
Βασίλης Γερμανίδης's user avatar
1 vote
1 answer
43 views

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/...
Βασίλης Γερμανίδης's user avatar
1 vote
0 answers
45 views

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 ...
dualer's user avatar
  • 11
1 vote
0 answers
45 views

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 ...
phonon's user avatar
  • 169
1 vote
0 answers
41 views

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 ...
Jeanbaptiste Roux's user avatar
1 vote
0 answers
30 views

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)\...
twisted manifold's user avatar
1 vote
0 answers
118 views

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 ...
twisted manifold's user avatar
1 vote
0 answers
310 views

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{...
CuriousMind2718's user avatar
3 votes
0 answers
70 views

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 ...
user avatar
2 votes
0 answers
129 views

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 ...
Burak Guner's user avatar
2 votes
1 answer
160 views

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 ...
K. Grammatikos's user avatar
3 votes
1 answer
510 views

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 ...
Nahc's user avatar
  • 2,071
4 votes
1 answer
856 views

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-...
Nahc's user avatar
  • 2,071
1 vote
0 answers
236 views

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. ...
Yaroslav Shustrov's user avatar
2 votes
2 answers
2k views

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 ...
user1349's user avatar
  • 2,099

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