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      Dissociation of Quarkonium in a Complex Potential

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          Abstract

          We have studied the quasi-free dissociation of quarkonia through a complex potential which is obtained by correcting both the perturbative and nonperturbative terms of the \(Q \bar Q\) potential at T=0 through the dielectric function in real-time formalism. The presence of confining nonperturbative term even above the transition temperature makes the real-part of the potential more stronger and thus makes the quarkonia more bound and also enhances the (magnitude) imaginary-part which, in turn contributes more to the thermal width, compared to the medium-contribution of the perturbative term alone. These cumulative observations result the quarkonia to dissociate at higher temperatures. Finally we extend our calculation to a medium, exhibiting local momentum anisotropy, by calculating the leading anisotropic corrections to the propagators in Keldysh representation. The presence of anisotropy makes the real-part of the potential stronger but the imaginary-part is weakened slightly. However, since the medium corrections to the imaginary-part is a small perturbation to the vacuum part, overall the anisotropy makes the dissociation temperatures higher, compared to isotropic medium.

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          Non-perturbative Debye mass in finite T QCD

          Employing a non-perturbative gauge invariant definition of the Debye screening mass m_D in the effective field theory approach to finite T QCD, we use 3d lattice simulations to determine the leading O(g^2) and to estimate the next-to-leading O(g^3) corrections to m_D in the high temperature region. The O(g^2) correction is large and modifies qualitatively the standard power-counting hierarchy picture of correlation lengths in high temperature QCD.
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            Classical Transport Theory and Hard Thermal Loops in the Quark-Gluon Plasma

            Classical transport theory for colored particles is investigated and employed to derive the hard thermal loops of QCD. A formal construction of phase-space for color degrees of freedom is presented. The gauge invariance of the non-Abelian Vlasov equations is verified and used as a guiding principle in our approximation scheme.We then derive the generating functional of hard thermal loops from a constraint satisfied at leading-order by the color current. This derivation is more direct than alternative ones based on perturbative quantum field theory, and shows that hard thermal effects in hot QCD are essentially {\it classical}. As an illustration, we analyze color polarization in the QCD plasma.
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              Can quarkonia survive deconfinement ?

              We study quarkonium correlators and spectral functions at zero and finite temperature in QCD with only heavy quarks using potential models combined with perturbative QCD. First, we show that this approach can describe the quarkonium correlation function at zero temperature. Using a class of screened potentials based on lattice calculations of the static quark-antiquark free energy we calculate spectral functions at finite temperature. We find that all quarkonium states, with the exception of the \(1S\) bottomonium, dissolve in the deconfined phase at temperatures smaller than \(1.5T_c\), in contradiction with the conclusions of recent studies. Despite this the temperature dependence of the quarkonium correlation functions calculated on the lattice is well reproduced in our model. We also find that even in the absence of resonances the spectral function at high temperatures is significantly enhanced over the spectral function corresponding to free quark antiquark propagation.
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                Author and article information

                Journal
                31 December 2013
                2014-05-14
                Article
                10.1103/PhysRevD.89.094020
                1401.0172
                595c0051-93a5-4771-88ee-6899f3994b16

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
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                Phys. Rev. D 89 (2014) 094020
                36 pages and 7 figures. (accepted in Physical review D)
                hep-ph nucl-th

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