Zero temperature dissipation and holography

Banerjee, Pinaki; Sathiapalan, B.

doi:10.1007/jhep04(2016)089

Cited by 11 publications

(26 citation statements)

References 49 publications

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“…One of the interesting results is that there is a drag force on the fluctuating external quark even at zero temperature, owing to radiation. This was studied in detail in [19], where the same result for the zero temperature term is obtained for pure AdS in all dimensions.…”

Section: Introductionmentioning

confidence: 71%

“…while the state of our DCFT system (19) is manifestly different, showing that for very large black hole temperature, our original approximation (112) breaks down.…”

Section: Gravity Computationsmentioning

confidence: 86%

“…Nevertheless, the form of the states (19) and (117), and the configuration of the systems are suggestively similar in many aspects. So a natural question that arises here is if there exists some way of slightly modifying the action/states of the double CFT proposed, in order to capture more of the dual gravitational description.…”

Section: Gravity Computationsmentioning

confidence: 88%

“…The equation (43) is very useful since, in principle, we can follow the change in the area of an extremal surface in a dual holographic geometry. Actually, this is an operator whose expectation value in the time dependent state defined in (19) provides the area of an extremal surface. For instance, taking the expectation value in the time dependent ground state, we have…”

Section: A Dcft Renormalized Entanglement Entropymentioning

confidence: 99%

“…G β is the usual thermal Bogoliubov transformation. Actually, we propose that our DCFT system, described by equation (19), is approximately given by the state (111),…”

Section: Gravity Computationsmentioning

confidence: 99%

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Entanglement from dissipation and holographic interpretation

et al. 2018

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In this work we study a dissipative field theory where the dissipation process is manifestly related to dynamical entanglement and put it in the holographic context. Such endeavour is realized by further development of a canonical approach to study quantum dissipation, which consists of doubling the degrees of freedom of the original system by defining an auxiliary one. A time dependent entanglement entropy for the vacumm state is calculated and a geometrical interpretation of the auxiliary system and the entropy is given in the context of the AdS/CFT correspondence using the Ryu-Takayanagi formula. We show that the dissipative dynamics is controlled by the entanglement entropy and there are two distinct stages: in the early times the holographic interpretation requires some deviation from classical General Relativity; in the later times the quantum system is described as a wormhole, a solution of the Einstein's equations near to a maximally extended black hole with two asymptotically AdS boundaries. We focus our holographic analysis in this regime, and suggest a mechanism similar to teleportation protocol to exchange (quantum) information between the two CFTs on the boundaries (see Maldacena et al. in Fortschr Phys 65(5):1700034, arXiv:1704.05333 [hep-th], 2017.

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Section: Introductionmentioning

confidence: 71%

“…while the state of our DCFT system (19) is manifestly different, showing that for very large black hole temperature, our original approximation (112) breaks down.…”

Section: Gravity Computationsmentioning

confidence: 86%

Section: Gravity Computationsmentioning

confidence: 88%

Section: A Dcft Renormalized Entanglement Entropymentioning

confidence: 99%

“…G β is the usual thermal Bogoliubov transformation. Actually, we propose that our DCFT system, described by equation (19), is approximately given by the state (111),…”

Section: Gravity Computationsmentioning

confidence: 99%

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Entanglement from dissipation and holographic interpretation

et al. 2018

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Holographic Wilsonian renormalization of a heavy quark moving through a strongly coupled plasma

Gutiez¹,

Hoyos²

2020

J. High Energ. Phys.

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A heavy quark moving through a strongly coupled deconfined plasma has a holographic dual description as a string moving in a black brane geometry. We apply the holographic Wilsonian renormalization method to derive a holographic effective string action dual to the heavy quark. The effective action only depends on the geometry between the black brane horizon and a cutoff localized in the radial direction, corresponding to the IR of the dual theory. We derive RG flow equations for the coefficients in the effective action and show that the force acting on the heavy quark is independent of the position of the cutoff. All the information about the UV is hidden in integration constants of the RG flow equations. This type of approach could be used to improve semi-holographic models where the UV is described by perturbative QCD and the IR by a holographic model.

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Fluctuation and dissipation within a deformed holographic model with backreaction

et al. 2021

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In this work we study fluctuations and dissipation of a string in a deformed anti-de Sitter (AdS) space at finite temperature and density. The deformed AdS space is a charged black hole solution of the Einstein-Maxwell-Dilaton action. In this background we take into account the backreaction on the horizon function from an exponential deformation of the AdS space. In this set up, we study the equations of motion of the string from the Nambu-Goto action. The motion of the string endpoint describes holographically the fluctuations and dissipation of a particle moving in a four-dimensional Minkowski space. From this model we compute the admittance and study its behavior against the temperature for some values of the chemical potential. In order to obtain the two-point correlations functions, and the mean square displacement we consider separately the bosonic and fermionic cases with µ < 0 and µ > 0, respectively. From the regularized mean square displacements of the bosonic and fermionic cases we obtain the short and large time approximations. For the short time case we find the usual ballistic regime, and for the long time case we obtain a sub-diffusive regime characteristic of a ultra-slow scaled Brownian motion. Combining the results from the admittance and mean square displacements we also study the fluctuation-dissipation theorem.

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Zero temperature dissipation and holography

Cited by 11 publications

References 49 publications

Entanglement from dissipation and holographic interpretation

Entanglement from dissipation and holographic interpretation

Holographic Wilsonian renormalization of a heavy quark moving through a strongly coupled plasma

Fluctuation and dissipation within a deformed holographic model with backreaction

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