Energy loss of a nonaccelerating quark moving through a strongly coupled N=4 super Yang-Mills vacuum or plasma in strong magnetic field

Abstract

Using AdS/CFT correspondence, we find that a massless quark moving at the speed of light $v=1$, in arbitrary direction, through a strongly coupled $\mathcal{N}=4$ super Yang-Mills (SYM) vacuum at $T=0$, in the presence of strong magnetic field $\mathcal{B}$, loses its energy at a rate linearly dependent on $\mathcal{B}$, i.e., $\frac{dE}{dt}=-\frac{\sqrt{\lambda }}{6\pi }\mathcal{B}$. We also show that a heavy quark of mass $M\ne 0$ moving at near the speed of light $v^2=v_{\ast }^2=1-\frac{4{\pi }^2{T}^2}{\mathcal{B}}\simeq 1$, in arbitrary direction, through a strongly coupled $\mathcal{N}=4$ SYM plasma at finite temperature $T\ne 0$, in the presence of strong magnetic field $\mathcal{B}\gg T^2$, loses its energy at a rate linearly dependent on $\mathcal{B}$, i.e., $\frac{dE}{dt}=-\frac{\sqrt{\lambda }}{6\pi }\mathcal{B}{v}_{\ast }^2\simeq -\frac{\sqrt{\lambda }}{6\pi }\mathcal{B}$. Moreover, we argue that, in the strong magnetic field $\mathcal{B}\gg T^2$ (IR) regime, $\mathcal{N}=4$ SYM and adjoint QCD theories (when the adjoint QCD theory has four flavors of Weyl fermions and is at its conformal IR fixed point $\lambda ={\lambda }^{\ast }$) have the same microscopic degrees of freedom (i.e., gluons and lowest Landau levels of Weyl fermions) even though they have quite different microscopic degrees of freedom in the UV when we consider higher Landau levels. Therefore, in the strong magnetic field $\mathcal{B}\gg T^2$ (IR) regime, the thermodynamic and hydrodynamic properties of $\mathcal{N}=4$ SYM and adjoint QCD plasmas, as well as the rates of energy loss of a quark moving through the plasmas, should be the same.

6 pages; v2: a minor change to the title, explanation about the massless limit in the vacuum (without changing the conclusion) added, references added; v3: the equivalence between N=4 SYM and adjoint QCD in strong magnetic field discussed, published version in Rapid Communications PRD

References in corpus (15)

• The Chiral Magnetic Effect
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Drag force in AdS/CFT
• Chiral Magnetic Wave
• Quantum Anomalies in Dense Matter
• The QCD equation of state in background magnetic fields
• Anisotropic shear viscosity of a strongly coupled non-Abelian plasma from magnetic branes
• Infrared fixed point in SU(2) gauge theory with adjoint fermions
• Inverse magnetic catalysis in holographic models of QCD
• Drag force in SYM plasma with B field from AdS/CFT
• Nonlinear waves in AdS/CFT correspondence
• Inverse Magnetic Catalysis in Bottom-Up Holographic QCD
• Jet quenching parameter of quark-gluon plasma in strong magnetic field: Perturbative QCD and AdS/CFT correspondence
• Dynamically flavored description of holographic QCD in the presence of a magnetic field
• Recent progress in lattice supersymmetry: from lattice gauge theory to black holes

Cited by in corpus (18)

• Holographic drag force in 5d Kerr-AdS black hole
• Heavy quark dynamics in a hot magnetized QCD medium
• Energy loss of heavy and light quarks in holographic magnetized background
• Chiral phase transition and QCD phase diagram from AdS/QCD
• Chiral Phase Transition with 2+1 quark flavors in an improved soft-wall AdS/QCD Model
• Impact of longitudinal bulk viscous effects to heavy quark transport in a strongly magnetized hot QCD medium
• Thermoelectric properties of (an-)isotropic QGP in magnetic fields
• Drag force to all orders in gradients
• Drag force in strongly coupled $\mathcal{N}=4$ SYM plasma in a magnetic field
• A holographic study on QCD phase transition and phase diagram with two flavors
• Octet meson spectra and chiral phase diagram in the improved soft-wall AdS/QCD model
• Correlations between the deconfining and chiral transitions in holographic QCD
• Imaginary potential in strongly coupled $\mathcal{N}=4$ SYM plasma in a magnetic field
• Thermodynamics and energy loss in D dimensions from holographic QCD model
• Energy Loss in Holographic Anisotropic Model for Heavy Quarks in External Magnetic Field
• Drag Force in the Vacuum of Confining Gauge Theories
• Effects of hyperscaling violation and dynamical exponents on drag force
• Field Theories Without a Holographic Dual