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Thermal field theory derivation of the source term induced by a fast parton from the quark energy-momentum tensor
High Energy Physics - Phenomenology · Submitted 23 Nov 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It is found that local excitations, which are important for exciting an observable Mach cone structure, fall sharply as a function of the energy of the fast parton.
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The abstract, sentence by sentence
I derive the distribution of energy and momentum transmitted from a fast parton to a medium of thermalized quarks, or the source term, in perturbative thermal field theory directly from the quark energy-momentum tensor. The fast parton is coupled to the medium by adding an interaction term to the Lagrangian. The thermal expectation value of the energy-momentum tensor source term is then evaluated using standard Feynman rules at finite temperature. It is found that local excitations, which are important for exciting an observable Mach cone structure, fall sharply as a function of the energy of the fast parton. This may have implications for the trigger $p_T$ dependence of measurements of azimuthal dihadron particle correlations in heavy-ion collisions. In particular, a conical emission pattern would be less likely to be observed for increasing trigger $p_T$. I show that the results presented in this paper can be generalized to more realistic modeling of fast parton propagation, such as through a time dependent interaction term, in future studies.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | I derive the distribution of energy and momentum transmitted from a fast parton to a medium of thermalized quarks, or the source term, in perturbative thermal field theory directly from the quark energy-momentum tensor. | contribution 1.00 | 0.97 | 0.26 | asserted 1.00 |
| s1 | The fast parton is coupled to the medium by adding an interaction term to the Lagrangian. | method 1.00 | 0.68 | 0.02 | asserted 0.99 |
| s2 | The thermal expectation value of the energy-momentum tensor source term is then evaluated using standard Feynman rules at finite temperature. | method 1.00 | 0.87 | 0.04 | asserted 0.99 |
| s3 | It is found that local excitations, which are important for exciting an observable Mach cone structure, fall sharply as a function of the energy of the fast parton. | result 1.00 | 0.95 | 0.67 | asserted 1.00 |
| s4 | This may have implications for the trigger $p_T$ dependence of measurements of azimuthal dihadron particle correlations in heavy-ion collisions. | interpretation 1.00 | 0.36 | 0.10 | hedged possibility 1.00 |
| s5 | In particular, a conical emission pattern would be less likely to be observed for increasing trigger $p_T$. | interpretation 0.98 | 0.63 | 0.23 | hedged possibility 0.79 |
| s6 | I show that the results presented in this paper can be generalized to more realistic modeling of fast parton propagation, such as through a time dependent interaction term, in future studies. | future work 1.00 | 0.50 | 0.04 | asserted 0.95 |
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The paper
Original abstract
I derive the distribution of energy and momentum transmitted from a fast parton to a medium of thermalized quarks, or the source term, in perturbative thermal field theory directly from the quark energy-momentum tensor. The fast parton is coupled to the medium by adding an interaction term to the Lagrangian. The thermal expectation value of the energy-momentum tensor source term is then evaluated using standard Feynman rules at finite temperature. It is found that local excitations, which are important for exciting an observable Mach cone structure, fall sharply as a function of the energy of the fast parton. This may have implications for the trigger $p_T$ dependence of measurements of azimuthal dihadron particle correlations in heavy-ion collisions. In particular, a conical emission pattern would be less likely to be observed for increasing trigger $p_T$. I show that the results presented in this paper can be generalized to more realistic modeling of fast parton propagation, such as through a time dependent interaction term, in future studies.
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References
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8 arXiv papers cite this in 8 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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In particular, one would be less likely to observe a conical emission pattern for increasing trigger pT.
A derivation of the source term induced by a fast parton from the quark energy-momentum tensor · 1.00
Papers citing it · 3 sentences without a confident label
Uses its method or tool 5 papers
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Meanwhile, the calculation to leading logarithmic accuracy at Hard-Thermal-Loop approximation [ref] is employed in our framework to describe the collisional energy loss of light quarks and gluon: [equation] where $z$ is the transport path of the partons along to the propagating direction.
$Z^0$ boson associated b-jet production in high-energy nuclear collisions · Collisional energy loss · 1.00
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Additionally, the contribution of elastic energy loss of the jet in the QGP is provided by a pQCD calculation based on the hard-thermal-loop approximation [ref] ,
Substructure grooming of inclusive and photon-tagged jets in heavy-ion collisions · Theoretical framework of jet transport in QGP · 0.94
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If radiation happens, the number of radiated gluons is sampled from a Poisson distribution: [equation] For massless partons, the collisional energy loss is estimated by the pQCD calculations within the Hard-Thermal Loop approximation [ref] : $E^coll/t=α_sC_sμ^2_D/2ln√(ET)/μ_D$, where $μ_D$ is the Debye screening mass.
Unraveling the Energy-Energy Correlators for Heavy Flavor Tagged Jets in pp, p+Pb and Pb+Pb Collisions · the jet quenching effect of the EEC observable in · 0.94
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Compares with 1 paper
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It was later shown that the solution matched well with a nearly ideal linearized hydrodynamic calculation up to distances of about $2/T$ away from the heavy quark [ref] .
The stress-energy tensor of a quark moving through a strongly-coupled N=4 supersymmetric Yang-Mills plasma: comparing hydrodynamics and AdS/CFT · Introduction · 0.80
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