Conformal Transformations, Rotating String and Effects of angular velocity on Accelerating Quark-Antiquark pair in $Ad{S}_3$

Abstract

In order to study quark and anti-quark interaction, one should consider all effects of the medium in motion of the pair. Because the pair, is not produced at rest in QGP. So the velocity of the pair, has some effects on its interactions that should be taken into account. In this paper we apply some conformal transformations for a rotat- ing string dual to a rotating heavy quark in $Ad{S}_3$ which construct an accelerating string dual to an accelerating quark and anti-quark pair. So, we can have a comparison between when pair has angular velocity or not. Then we can study effects of angular velocity on the accelerating quark and anti-quark which are constructed by performing special con- formal transformations, conformal SO(2,2) transformation and particular $SL(2,R{)}_L$ and $SL(2,R{)}_R$ transformation. The accelerating quark and anti-quark show different behavior with increasing in angular velocity. With useful numerical solutions we show that quark and anti-quark can deccelerate to achieve each other or accelerate to get away from each other. We will see variable behaviors of the pair in different transformations. There are various behavior like, permanent behavior, increase or decrese in acceleration or we will consider uncertain behavior.

15 pages, 6 figures. arXiv admin note: substantial text overlap with arXiv:1412.2428 by other authors

References in corpus (17)

• Gluon scattering amplitudes at strong coupling
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Drag force in AdS/CFT
• Momentum fluctuations of heavy quarks in the gauge-string duality
• On the exact solution of the accelerating string in $Ad{S}_5$ space
• Holographic Schwinger effect in de Sitter space
• Nonlinear waves in AdS/CFT correspondence
• Generalized Lorentz-Dirac Equation for a Strongly-Coupled Gauge Theory
• Fluctuation and dissipation in de Sitter space
• Temperature versus acceleration: the Unruh effect for holographic models
• Conformal SO(2,4) Transformations of the One-Cusp Wilson Loop Surface
• The holographic dual of a Hawking pair has a wormhole
• Accelerated detectors and worldsheet horizons in AdS/CFT
• EPR = ER and Scattering Amplitude as Entanglement Entropy Change
• Holographic Accelerated Heavy Quark-Anti-Quark Pair
• Boole's Method I. A Modern Version
• Conformal Transformations and Strings for an Accelerating Quark-Antiquark Pair in AdS3