Stochastic potential and quantum decoherence of heavy quarkonium in the quark-gluon plasma

Akamatsu, Yuzuru; Rothkopf, Alexander

doi:10.1103/physrevd.85.105011

Cited by 140 publications

(165 citation statements)

References 31 publications

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“…The metric is given by equation (2.18), and the M, N, P, V functions are the same as in (2.19a). Evaluation of the equations of motion (3.8) and (3.9) lead to 25) JHEP01 (2015)051 where we defined the dimensionless variables y ≡ U/U h , z ≡ X d U h /R 2 andσ ≡ σU h /R 2 as well as the dimensionless integration constants q 2 ≡ R 4 Q 2 /U 4 h and p 2 = R 4 K 2 /U 4 h . With these variables, the boundary conditions (3.1) become…”

Section: An Explicit Example -Thermal N = 4 Symmentioning

confidence: 99%

Thermal suppression of moving heavy quark pairs in a strongly coupled plasma

Finazzo

Noronha

2015

J. High Energ. Phys.

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The imaginary part of the heavy quark-antiquark potential experienced by moving heavy quarkonia in strongly coupled plasmas dual to theories of gravity is computed by considering thermal worldsheet fluctuations of the holographic Nambu-Goto string. General results for a wide class of gravity duals are presented and an explicit formula for Im V QQ is found in the case where the axis of the movingQQ pair has an arbitrary orientation with respect to its velocity in the plasma. These results are applied to the study of heavy quarkonia propagating through a strongly coupled N = 4 SYM plasma. Our results indicate that the onset of Im V QQ decreases with increasing rapidity (though our analysis is limited to slowly moving quarkonia) and that, in general, a QQ pair is more strongly bound if its axis is aligned with its direction of motion through the strongly coupled plasma.

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Section: An Explicit Example -Thermal N = 4 Symmentioning

confidence: 99%

Thermal suppression of moving heavy quark pairs in a strongly coupled plasma

Finazzo

Noronha

2015

J. High Energ. Phys.

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“…Earlier it was thought that a quarkonium state is dissociated when the Debye screening becomes so strong that it inhibits the formation of bound states but nowadays a quarkonium is dissociated at a lower temperature [16,35] even though its binding energy is nonvanishing, rather is overtaken by the Landau-damping induced thermal width [36], obtained from the imaginary part of the potential. Its consequences on heavy quarkonium spectral functions [35,37], perturbative thermal widths [36,38] quarkonia at finite velocity [39], in a T-matrix approach [40,41,42,43,44], and in stochastic real-time dynamics [45] have been studied. Recently the dynamical evolution of the plasma was combined with the real and imaginary parts of the binding energies to estimate the suppression of quarkonium [46] in RHIC and LHC energies.…”

Section: Introductionmentioning

confidence: 99%

Dissociation of quarkonium in a complex potential

2014

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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 QQ 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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“…While this work derives its original inspiration from [25], it is quite different from all previous studies on the subject [48][49][50][51][52][53][54][55][56], as the derived evolution equations fulfill three essential conditions: they conserve the total number of heavy quarks (i.e., Tr{ρ s } + Tr{ρ o } is preserved by the evolution equations); they account for the non-Abelian nature of QCD (through gluon exchanges color-singlet quarkonia may dissociate into quark-antiquark color-octet states, and vice versa quark-antiquark color-octet states may generate quarkonia); and, finally, they do not rely on classical approximations but rather follow from the closed-time-path formalism applied to quantum field theory. The work substantially extends, updates, and completes a previous strongly-coupled analysis done in [10].…”

Section: Discussionmentioning

confidence: 99%

Heavy quarkonium suppression in a fireball

Escobedo¹

2016

AIP Conference Proceedings

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We perform a comprehensive study of the time evolution of heavy-quarkonium states in an expanding hot QCD medium by implementing effective field theory techniques in the framework of open quantum systems. The formalism incorporates quarkonium production and its subsequent evolution in the fireball including quarkonium dissociation and recombination. We consider a fireball with a local temperature that is much smaller than the inverse size of the quarkonium and much larger than its binding energy. The calculation is performed at an accuracy that is leading-order in the heavy-quark density expansion and next-to-leading order in the multipole expansion. Within this accuracy, for a smooth variation of the temperature and large times, the evolution equation can be written as a Lindblad equation. We solve the Lindblad equation numerically both for a weaklycoupled quark-gluon plasma and a strongly-coupled medium. As an application, we compute the nuclear modification factor for the Υ(1S) and Υ(2S) states. We also consider the case of static quarks, which can be solved analytically. Our study fulfills three essential conditions: it conserves the total number of heavy quarks, it accounts for the non-Abelian nature of QCD and it avoids classical approximations.

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Stochastic potential and quantum decoherence of heavy quarkonium in the quark-gluon plasma

Cited by 140 publications

References 31 publications

Thermal suppression of moving heavy quark pairs in a strongly coupled plasma

Thermal suppression of moving heavy quark pairs in a strongly coupled plasma

Dissociation of quarkonium in a complex potential

Heavy quarkonium suppression in a fireball

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