Temperature versus acceleration: the Unruh effect for holographic models

Abstract

We analyse the effect of velocity and acceleration on the temperature felt by particles and strings in backgrounds relevant in holographic models. First, we compare accelerated strings and strings at finite temperature. We find that for fixed Unruh temperature felt by the string endpoints, the screening length is smaller for the accelerated Wilson loop than for the static one in a thermal background of the same temperature; hence acceleration provides a "more efficient" mechanism for melting of mesons. Secondly, we show that the velocity-dependence of the screening length of the colour force, previously obtained from a moving Wilson loop in a finite temperature background, is not specific for the string, but is a consequence of the generic fact that an observer which moves with constant velocity in a black hole background measures a velocity-dependent temperature. Finally, we analyse accelerated particles and strings in the AdS black hole background, and show that these feel a temperature which increases as a function of time. As a byproduct of our analysis we find a global Minkowski embedding for the planar AdS black hole.

27 pages, 9 figures; v2: references added; v3: various points clarified, published version

References in corpus (30)

• Low energy hadron physics in holographic QCD
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Drag force in AdS/CFT
• Wilson-Polyakov Loop at Finite Temperature in Large N Gauge Theory and Anti-de Sitter Supergravity
• Meson Spectroscopy in AdS/CFT with Flavour
• Wilson Loops in the Large N Limit at Finite Temperature
• An AdS/CFT Calculation of Screening in a Hot Wind
• Holographic melting and related properties of mesons in a quark gluon plasma
• AdS/CFT correspondence, quasinormal modes, and thermal correlators in N=4 SYM
• Thermal Hadronization and Hawking-Unruh Radiation in QCD
• Charmonium at high temperature in two-flavor QCD
• Accelerated Detectors and Temperature in (Anti) de Sitter Spaces
• The Energy of a Moving Quark-Antiquark Pair in an N=4 SYM Plasma
• Mapping Hawking into Unruh Thermal Properties
• Comparing energy loss and $p_{\perp }$-broadening in perturbative QCD with strong coupling $\mathcal{N}=4$ SYM theory
• Acceleration, Energy Loss and Screening in Strongly-Coupled Gauge Theories
• Laying the ghost of the relativistic temperature transformation
• On the exact solution of the accelerating string in $Ad{S}_5$ space
• Screening length in plasma winds
• Stability of strings dual to flux tubes between static quarks in N=4 SYM
• Stability of strings binding heavy-quark mesons
• Finite Black Hole Entropy and String Theory
• Velocity Dependence of Baryon Screening in a Hot Strongly Coupled Plasma
• A limiting velocity for quarkonium propagation in a strongly coupled plasma via AdS/CFT
• Taking the Temperature of a Black Hole
• Accelerating Branes and Brane Temperature
• The GEMS Approach to Stationary Motions in the Spherically Symmetric Spacetimes
• Baryon Dissociation in a Strongly Coupled Plasma
• Dissociation by acceleration
• Aspects of open strings in Rindler Space

Cited by in corpus (25)

• A holographic view on physics out of equilibrium
• Probe Branes, Time-dependent Couplings and Thermalization in AdS/CFT
• Quantum Quench across a Holographic Critical Point
• Stochastic trailing string and Langevin dynamics from AdS/CFT
• Quantum Fluctuations and the Unruh Effect in Strongly-Coupled Conformal Field Theories
• Holographic Lessons for Quark Dynamics
• Holographic Quantum Quench
• Holographic EPR Pairs, Wormholes and Radiation
• Unruh Effect and Holography
• Relativistic Kinematics and Stationary Motions
• Accelerated detectors and worldsheet horizons in AdS/CFT
• Early-Time Energy Loss in a Strongly-Coupled SYM Plasma
• Branes from Light: Embeddings and Energetics for Symmetric $k$-Quarks in $\mathcal{N}=4$ SYM
• No Line on the Horizon: On Uniform Acceleration and Gluonic Fields at Strong Coupling
• Energy loss by radiation to all orders in 1/N
• The Gluonic Field of a Heavy Quark in Conformal Field Theories at Strong Coupling
• Accelerated Quark and Holography for Confining Gauge theory
• Symmetry Restoration and Uniformly Accelerated Observers in Minkowski Spacetime
• D7-brane dynamics and thermalization in the Kuperstein-Sonnenschein model
• Temperature in the Throat
• Unruh effect and condensate in and out of an accelerated vacuum
• Conformal Transformations and Strings for an Accelerating Quark-Antiquark Pair in AdS3
• Losing information outside the horizon
• Unruh Duality and Maximum Acceleration in String Theory
• Conformal Transformations, Rotating String and Effects of angular velocity on Accelerating Quark-Antiquark pair in $Ad{S}_3$