Thermal noise and stochastic strings in AdS/CFT
146 citations recorded by the source corpus.
We clarify the structure of thermal noise in AdS/CFT by studying the dynamics of an equilibrated heavy quark string. Using the Kruskal extension of the correspondence to generate the dynamics of the field theory on the Keldysh contour, we show that the motion of the string is described by the classical equations of motion with a stochastic boundary condition on the stretched horizon. The form of the stochastic boundary condition is consistent with the dissipation on this surface and is found by integrating out the fluctuations inside of the stretched horizon. Solving the equations of motion for the fluctuating string we determine the full frequency dependence of the random force on the boundary quark and show that it is consistent with the frequency dependent dissipation. We show further that the stochastic motion reproduces the bulk to bulk two point functions of the Kruskal formalism. These turn out to be related to the usual retarded bulk to bulk propagator by KMS relations. Finally we analyze the stochastic equations and give a bulk picture of the random boundary force as a flip-flopping trailing string solution. The basic formalism can be applied to the fluctuations of gravitons, dilatons, and other fields.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/a4c8c5d810a3a4eeeb05de451224d22100100826
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Nuclear and High Energy Physics
Citations in the corpus
- Gauge/String Duality, Hot QCD and Heavy Ion Collisions (2011, result): “[477, 484], and these results nicely reproduce those we have obtained within a Langevin formalism.”
- Improved Holographic QCD (2010, result): “This can be computed along the lines set in [45, 47, 48] and the results were recently reported in [91].”
- Brownian Motion in AdS/CFT (2008, unknown): “More recent papers discussing aspects of Brownian motion in the AdS/CFT context include [20, 21, 22, 23].”
- Thermal transport and drag force in improved holographic QCD (2009, background): “It would be interesting to compute this, along the lines set in [27, 29, 30] and we are currently pursuing that aim.”
- Heavy ions and string theory (2013, methodology): “While the spectral density (which describes classical absorption) is easily computed using the classical methods of the correspondence, the symmetrized correlation function (which describes the quantum-statistical fluctuations) can only be computed through an analysis of the Hawking flux [114, 115, ”
- Probe branes, time-dependent couplings and thermalization in AdS/CFT (2010, background): “Since the fluctuations of [47, 48] comes purely from properties of the induced metric it is natural to expect that a similar phenomenon appears in our case.”
- Heavy-flavour and quarkonium production in the LHC era: from proton–proton to heavy-ion collisions (2015, unknown): “The diffusion coefficients have been derived in the large mass, constant motion limit [573, 574] as κT = π √ λγ1/2T 3 S Y M , κL = π √ λγ5/2T 3 S Y M .”