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Register a new userNote on Sonic Mach cones induced by fast partons in a perturbative quark-gluon plasma arXiv:0802.2254
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Zotin K.-H. Chu
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We make remarks on Neufeld {it et al.}s [{it Phys. Rev. C} 78, 041901(R) (2008), arXiv:0802.2254] paper especially about the Mach cone formation. We argue that the original bow shock structure (as a fast parton moving through a quark-gluon plasma) has been smeared out after the approximations made by Neufeld {it et al.}
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Complete suppression of the heavy quarkonium due to the screening mechanism of the quark-gluon plasma is proposed in the literature to be a signature of the quark-gluon plasma detection at RHIC and LHC. However, since the heavy quarkonium $Upsilon$ production is experimentally measured in the Pb-Pb collisions by the ALICE collaboration at LHC one has to study the $Upsilon$ production from the quark-gluon plasma instead of studying the $Upsilon$ suppression due to the screening mechanism of the quark-gluon plasma. In this paper we derive the non-perturbative formula of the $Upsilon$ production amplitude from the quark-gluon plasma from the first principle in QCD which can be calculated by using the lattice QCD method at the finite temperature.
To investigate the formation and the propagation of relativistic shock waves in viscous gluon matter we solve the relativistic Riemann problem using a microscopic parton cascade. We demonstrate the transition from ideal to viscous shock waves by varying the shear viscosity to entropy density ratio $eta/s$. Furthermore we compare our results with those obtained by solving the relativistic causal dissipative fluid equations of Israel and Stewart (IS), in order to show the validity of the IS hydrodynamics. Employing the parton cascade we also investigate the formation of Mach shocks induced by a high-energy gluon traversing viscous gluon matter. For $eta/s = 0.08$ a Mach cone structure is observed, whereas the signal smears out for $eta/s geq 0.32$.
Wakes created by a parton moving through a static and infinitely extended quark-gluon plasma are considered. In contrast to former investigations collisions within the quark-gluon plasma are taken into account using a transport theoretical approach (Boltzmann equation) with a Bhatnagar-Gross-Krook collision term. Within this model it is shown that the wake structure changes significantly compared to the collisionless case.
Structure of Mach cones in a crystalline complex plasma has been studied experimentally using an intensity sensitive imaging, which resolved particle motion in three dimensions. This revealed a previously unknown out-of-plane cone structure, which appeared due to excitation of the vertical wave mode. The complex plasma consisted of micron sized particles forming a monolayer in a plasma sheath of a gas discharge. Fast particles, spontaneously moving under the monolayer, created Mach cones with multiple structures. The in-plane cone structure was due to compressional and shear lattice waves.
The thesis contains studies of properties quark-gluon plasma, using some non-perturbative techniques. It contains a brief introduction of quark-gluon plasma (QGP) and discussion on various signatures along with a motivation for this thesis work. It presents the basic mathematical tools and ingredients required for the thesis, i.e. basics of QCD, Imaginary and Real Time Formalism, Hard Thermal Loop perturbation theory (HTLpt), Gribov-Zwanziger (GZ) action, the Correlation Function along with the Spectral Function and Operator Product Expansion (OPE) and QCD in magnetized medium. OPE is used to compute the dilepton rate in intermediate mass range by incorporating the non-perturbative dynamics of QCD through the inclusion of non-vanishing quark and gluon condensates in combination with the Green functions in momentum space. Also the magnetic scale (g^2T) in the HTL perturbation theory, related to the confining properties of the QCD is taken into account using the GZ action through a mass parameter, which reflects a new space-like quark mode in the collective excitation. The impact of this new exciting mode on the DPR has been studied and its important consequences has been discussed. A hot magnetized medium introduces another scale in the system in addition to temperature. Electromagnetic spectral properties and DPR are studied completely analytically in presence of both strong and weak background magnetic fields at finite temperature. The Debye screening in a hot and magnetized medium has been studied which reveals some of the intriguing properties of the medium in presence of both strong and weak magnetic field. Also an important quantity that characterizes the QGP, namely quark number susceptibility has been investigated. Most of the non-perturbative results discussed in this thesis are compared with those of perturbative ones and lattice QCD.
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