Ampere's Law and Energy Loss in AdS/CFT Duality

Abstract

We note that the energy loss in $\mathcal{N}=4$ SYM measures directly the spatial string tension ${\sigma }_S=\pi \sqrt{\lambda }{T}^2/2$ which is at the origin of the area law for large spatial Wilson loops. We show that the latter reflects on the nonperturbative nature of Ampere's law in $\mathcal{N}=4$ SYM both in vacuum and at finite temperature.

arXiv comment5pp and 1 Figure; short discussion added

References in corpus (10)

• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Towards a Theory of Binary Bound States in the Quark-Gluon Plasma
• Rethinking the Properties of the Quark-Gluon Plasma at $T\sim T_c$
• Elastic Parton-Parton Scattering from AdS/CFT
• Holography of Radiation and Jet Quenching
• Wilson loops in SYM theory: from weak to strong coupling
• Minimal surfaces and Reggeization in the AdS/CFT correspondence
• Baryons from Supergravity
• Understanding the Strong Coupling Limit of the $\mathcal{N}=4$ Supersymmetric Yang-Mills at Finite Temperature
• Spin-Spin and Spin-Orbit Interactions in Strongly Coupled Gauge Theories

Cited by in corpus (28)

• Physics of Strongly coupled Quark-Gluon Plasma
• Wilson loops in heavy ion collisions and their calculation in AdS/CFT
• Momentum fluctuations of heavy quarks in the gauge-string duality
• Transverse Momentum Broadening of a Fast Quark in a $\mathbb{N}=4$ Yang Mills Plasma
• Improved Holographic QCD
• The Energy of a Moving Quark-Antiquark Pair in an N=4 SYM Plasma
• Lattice QCD at non-zero temperature
• Comparing the drag force on heavy quarks in N=4 super-Yang-Mills theory and QCD
• Thermal Transport and Drag Force in Improved Holographic QCD
• The stress tensor of a quark moving through N=4 thermal plasma
• Acceleration, Energy Loss and Screening in Strongly-Coupled Gauge Theories
• On Drag Forces and Jet Quenching in Strongly Coupled Plasmas
• Drag force in SYM plasma with B field from AdS/CFT
• Drag force in a strongly coupled anisotropic plasma
• Drag Force, Jet Quenching, and AdS/QCD
• Critical Trapped Surfaces Formation in the Collision of Ultrarelativistic Charges in (A)dS
• Holographic drag force in 5d Kerr-AdS black hole
• Lattice QCD at finite temperature : present status
• Heavy quarks in rotating plasma via holography
• Gluon Condensation at Finite Temperature via AdS/CFT
• Universality of the diffusion wake in the gauge-string duality
• Some aspects of QGP phase in a hQCD model
• Drag Force on Heavy Quarks and Spatial String Tension
• Drag and jet quenching of heavy quarks in a strongly coupled N=2* plasma
• Probing strongly coupled anisotropic plasmas from higher curvature gravity
• Drag force on heavy diquarks and gauge/string duality
• Energy Loss in Holographic Anisotropic Model for Heavy Quarks in External Magnetic Field
• Butterflies dragging the jets: on the chaotic nature of holographic QCD