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On the Evolution of Jet Energy and Opening Angle in Strongly Coupled Plasma
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abstract
We calculate how the energy and the opening angle of jets in ${\cal N}=4$ SYM theory evolve as they propagate through the strongly coupled plasma of that theory. We define the rate of energy loss $dE_{\rm jet}/dx$ and the jet opening angle in a straightforward fashion directly in the gauge theory before calculating both holographically, in the dual gravitational description. In this way, we rederive the previously known result for $dE_{\rm jet}/dx$ without the need to introduce a finite slab of plasma. We obtain a striking relationship between the initial opening angle of the jet, which is to say the opening angle that it would have had if it had found itself in vacuum instead of in plasma, and the thermalization distance of the jet. Via this relationship, we show that ${\cal N}=4$ SYM jets with any initial energy that have the same initial opening angle and the same trajectory through the plasma experience the same fractional energy loss. We also provide an expansion that describes how the opening angle of the ${\cal N}=4$ SYM jets increases slowly as they lose energy, over the fraction of their lifetime when their fractional energy loss is not yet large. We close by looking ahead toward potential qualitative lessons from our results for QCD jets produced in heavy collisions and propagating through quark-gluon plasma.
Forward citations
Cited by 6 Pith papers
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Modification of jet-energy flow in heavy-ion collisions
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Visualizing How the Structure of Large-Radius Jets Shapes Their Wakes
Hybrid Model simulations show ATLAS large-radius jet data rule out fully coherent jet energy loss, and low-pT jet-shape observables can visualize merging subjet wakes.
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Mapping jet substructure in heavy-ion collisions with track functions
Track functions exhibit model-dependent modifications to higher moments in heavy-ion jets, with RG flows qualitatively preserved, enabling discrimination between jet quenching pictures.
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Stochastic Dynamics of Heavy Quarks in Strongly Coupled Plasma
Kolmogorov dynamics for heavy quarks in hot plasma shows significantly delayed large-momentum equilibration compared to Fokker-Planck with matched drag, due to rare low-momentum-loss events.
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Constraining the Resolution Length of Quark-Gluon Plasma with New Jet Substructure Measurements
Jet substructure measurements from ALICE and ATLAS, modeled with the Hybrid Model, disfavor both fully coherent and fully incoherent energy loss, implying a finite QGP resolution length near 1/(pi T).
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What is the Quark-Gluon Plasma made of?
The quark-gluon plasma is best described as a strongly coupled liquid of massive, very short-lived quark and gluon quasiparticles, with sound (phonon) modes becoming the most well-defined collective excitation at low momenta.
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