Stochastic string motion above and below the world sheet horizon

Casalderrey-Solana, Jorge; Kim, Keun‐Young; Teaney, Derek

doi:10.1088/1126-6708/2009/12/066

Cited by 26 publications

(31 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Such effective temperatures have been discussed previously (e.g., [30]) in the context of trailing strings [46,47], where a quark moving at equilibrium in a background plasma feels an effective temperature caused by a boost of the stress energy tensor in its frame. This leads to an effective temperature of the form…”

Section: Jhep06(2011)017mentioning

confidence: 78%

The open string membrane paradigm with external electromagnetic fields

Kim

Shock

Tarrío

2011

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

Abstract:We study the effective geometry felt by the fluctuations of open strings living on the worldvolume of probe D-branes in the presence of background electromagnetic fields. This is captured by an effective action consisting of a Maxwell term and a topological term, with the role of the metric played by the open string metric. Studying generalized Eddington-Finkelstein coordinates for stationary but non-static manifolds, we consider an open string membrane paradigm to obtain a generic formula for the DC transport coefficients, including the effect of external electromagnetic fields present on the worldvolume of the probe branes. We show that the previously studied singular shell, present when a critical electric field strength is turned on, behaves as a horizon for the open string degrees of freedom. The results of this analysis can be used to define a membrane paradigm for a very general class of spacetimes with non-diagonal metrics.

show abstract

Section: Jhep06(2011)017mentioning

confidence: 78%

The open string membrane paradigm with external electromagnetic fields

Kim

Shock

Tarrío

2011

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Later, the idea of this holographic duality has been extended to other systems such as strong coupling problems in condensed matter physics and the hydrodynamics of the quark-gluon plasma. Moreover, considerable efforts have been focused on using the holography idea to explore Brownian motion of a particle moving in a strongly coupled environment [31][32][33][34][35][36][37][38][40][41][42][43]. In addition, there have been extensive studies of above mentioned energy conditions with the holographic approach.…”

Section: Jhep09(2016)059mentioning

confidence: 99%

“…Then I(r) and K(r) in the metric perturbations are straightforwardly given by (2.34) with z = 1. Using the prescriptions (2.15) and (2.19), they leads to the boundary stress tensor to second order in gravitational wave perturbations, which is given by 36) where C can be determined by matching the black brane mass density to that of gravitational waves. As long as z = 2, the leading order results (2.35) in a large r expansion give nonvanishing stress tensor.…”

Section: Jhep09(2016)059mentioning

confidence: 99%

A holographic description of negative energy states

Lee

Yeh

2016

J. High Energ. Phys.

View full text Add to dashboard Cite

Using the AdS/CFT duality, we study the expectation value of stress tensor in 2 + 1-dimensional quantum critical theories with a general dynamical scaling z, and explore various constrains on negative energy density for strongly coupled field theories. The holographic dual theory is the theory of gravity in 3+1-dimensional Lifshitz backgrounds. We adopt a consistent approach to obtain the boundary stress tensor from bulk construction, which satisfies the trace Ward identity associated with Lifshitz scaling symmetry. In particular, the boundary stress tensor, constructed from the gravitational wave deformed Lifshitz geometry, is found up to second order in gravitational wave perturbations. The result is compared to its counterpart in free scalar field theory at the same order in an expansion of small squeezing parameters. This allows us to relate the boundary values of gravitational waves to the squeezing parameters of squeezed vacuum states. We find that, in both cases with z = 1, the stress tensor satisfies the averaged null energy condition, and is consistent with the quantum interest conjecture. Moreover, the negative lower bound on null-contracted stress tensor, which is averaged over time-like trajectories along nearly null directions, is obtained. We find a weaker constraint on the magnitude and duration of negative null energy density in strongly coupled field theory as compared with the constraint in free relativistic field theory. The implications are discussed.

show abstract

“…The authors of [60] focused on the case d = 4 and followed a different but equivalent route, employing the dual relation between the Kruskal extension of the Schwarzschild-AdS geometry and the CFT Schwinger-Keldysh formalism [61,62,7], together with the known connection between the latter and the generalized Langevin equation. These calculations were later generalized and elaborated on in [63,64,65,66].…”

Section: Late-time Energy Loss Brownian Motion and Limiting Velocitymentioning

confidence: 99%

Holographic lessons for quark dynamics

Chernicoff

Garcı́a

Güijosa

et al. 2012

J. Phys. G: Nucl. Part. Phys.

View full text Add to dashboard Cite

We give a brief overview of recent results obtained through the gauge/gravity correspondence, concerning the propagation of a heavy quark in strongly-coupled conformal field theories (such as N = 4 super-Yang-Mills), both at zero and finite temperature. In the vacuum, we discuss energy loss, radiation damping, signal propagation and radiation-induced fluctuations. In the presence of a thermal plasma, our emphasis is on early-time energy loss, screening and quark-antiquark evolution after pair creation. Throughout, quark dynamics is seen to be efficiently encapsulated in the usual string worldsheet dynamics.

show abstract

Stochastic string motion above and below the world sheet horizon

Cited by 26 publications

References 41 publications

The open string membrane paradigm with external electromagnetic fields

The open string membrane paradigm with external electromagnetic fields

A holographic description of negative energy states

Holographic lessons for quark dynamics

Contact Info

Product

Resources

About