Thermal field theory derivation of the source term induced by a fast parton from the quark energy-momentum tensor

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.

arXiv commentVersion as accepted by Physical Review D. New version has several clarifications and added references. 5 pages, 3 figures

References in corpus (37)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
• The PHOBOS Perspective on Discoveries at RHIC
• Radiative energy loss and $p_{\perp }$-broadening of high energy partons in nuclei
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Suppression of Hadrons with Large Transverse Momentum in Central Au+Au Collisions at $sqrt {s sub {sub {NN}}}_ = 130 GeV
• Reaction Operator Approach to Non-Abelian Energy Loss
• Multiple Collisions and Induced Gluon Bremsstrahlung in QCD
• Radiative energy loss of high energy quarks in finite-size nuclear matter and quark-gluon plasma
• Gluon Radiation off Hard Quarks in a Nuclear Environment: Opacity Expansion
• Centrality dependence of high pT hadron suppression in Au+Au collisions at sqrt(sNN)=130 GeV
• Multiple Parton Scattering in Nuclei: Parton Energy Loss
• Distributions of Charged Hadrons Associated with High Transverse Momentum Particles in pp and Au+Au Collisions at sqrt(s_NN)=200 GeV
• Dihadron azimuthal correlations in Au+Au collisions at sqrt(s_NN)=200 GeV
• Modifications to Di-Jet Hadron Pair Correlations in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Waking the Colored Plasma
• Classical Transport Theory and Hard Thermal Loops in the Quark-Gluon Plasma
• Cherenkov Radiation from Jets in Heavy-ion Collisions
• The stress-energy tensor of a quark moving through a strongly-coupled N=4 supersymmetric Yang-Mills plasma: comparing hydrodynamics and AdS/CFT
• Large Angle Hadron Correlations from Medium-Induced Gluon Radiation
• The stress tensor of a quark moving through N=4 thermal plasma
• Mach shocks induced by partonic jets in expanding quark-gluon plasma
• Indications of Conical Emission of Charged Hadrons at the BNL Relativistic Heavy Ion Collider
• Mach cones in an evolving medium
• Effects of jet quenching on the hydrodynamical evolution of quark-gluon plasma
• Universality of the Diffusion Wake from Stopped and Punch-Through Jets in Heavy-Ion Collisions
• Energy and momentum deposited into a QCD medium by a jet shower
• Sonic Mach Cones Induced by Fast Partons in a Perturbative Quark-Gluon Plasma
• Trends in Yield and Azimuthal Shape Modification in Dihadron Correlations in Relativistic Heavy Ion Collisions
• The sound produced by a fast parton in the quark-gluon plasma is a "crescendo"
• Anomalous Conical Di-jet Correlations in pQCD vs AdS/CFT
• Mach cones in the quark-gluon plasma: Viscosity, speed of sound, and effects of finite source structure
• The rapidity structure of Mach cones and other large angle correlations in heavy-ion collisions
• The Mach cone signal and energy deposition scenarios in linearized hydrodynamics
• Fast partons as a source of energy and momentum in a perturbative quark-gluon plasma
• NLO-QCD corrections to e+ e- --> hadrons in models of TeV-scale gravity

Cited by in corpus (17)

• Momentum imbalance of isolated photon-tagged jet production at RHIC and LHC
• Inclusive b-jet production in heavy ion collisions at the LHC
• Parton showers as sources of energy-momentum deposition in the QGP and their implication for shockwave formation at RHIC and at the LHC
• Diffusion of charm quarks in jets in high-energy heavy-ion collisions
• The Z^0-tagged jet event asymmetry in heavy-ion collisions at the CERN Large Hadron Collider
• Novel Phenomena in Particle Correlations in Relativistic Heavy-Ion Collisions
• Medium modifications of girth distributions for inclusive jets and $Z^0+\mathrm{jet}$ in relativistic heavy-ion collisions at the LHC
• An operator definition and derivation of collisional energy and momentum loss in relativistic plasmas
• Transverse momentum balance of dijets in Xe+Xe collisions at the LHC
• Longitudinal momentum fraction of heavy-flavor mesons in jets in high-energy nuclear collisions
• $Z^0$ boson associated b-jet production in high-energy nuclear collisions
• $p_T$ dispersion of inclusive jets in high-energy nuclear collisions
• Radial distribution of charm quarks in jets in high-energy heavy-ion collisions
• Probing the mass effect of heavy quark jets in high-energy nuclear collisions
• Jet momentum balance independent of shear viscosity
• A derivation of the source term induced by a fast parton from the quark energy-momentum tensor
• Tagged jets and jet reconstruction as a probe of the quark-gluon plasma